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Finding the Third Proportional to 307,812,901,900 and 661,950,587,080

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Solution

The third proportional to 307,812,901,900 and 661,950,587,080 is: 1,423,522,461,309.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,812,901,900 : 661,950,587,080 = 661,950,587,080 : x
  2. Step 2: Convert to fraction form
    307,812,901,900/661,950,587,080 = 661,950,587,080/x
  3. Step 3: Cross multiply
    307,812,901,900x = 661,950,587,080 × 661,950,587,080
  4. Step 4: Simplify right side
    307,812,901,900x = 438,178,579,735,556,665,638,912
  5. Step 5: Solve for x
    x = 438,178,579,735,556,665,638,912/307,812,901,900
  6. Step 6: Final answer
    x = 1,423,522,461,309.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.