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Finding the Third Proportional to 307,812,902,070 and 661,950,587,418

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Solution

The third proportional to 307,812,902,070 and 661,950,587,418 is: 1,423,522,461,977.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,812,902,070 : 661,950,587,418 = 661,950,587,418 : x
  2. Step 2: Convert to fraction form
    307,812,902,070/661,950,587,418 = 661,950,587,418/x
  3. Step 3: Cross multiply
    307,812,902,070x = 661,950,587,418 × 661,950,587,418
  4. Step 4: Simplify right side
    307,812,902,070x = 438,178,580,183,035,282,456,576
  5. Step 5: Solve for x
    x = 438,178,580,183,035,282,456,576/307,812,902,070
  6. Step 6: Final answer
    x = 1,423,522,461,977.21

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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.