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Finding the Third Proportional to 810,639,566 and 1,643,836,124

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Solution

The third proportional to 810,639,566 and 1,643,836,124 is: 3,333,413,906.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,639,566 : 1,643,836,124 = 1,643,836,124 : x
  2. Step 2: Convert to fraction form
    810,639,566/1,643,836,124 = 1,643,836,124/x
  3. Step 3: Cross multiply
    810,639,566x = 1,643,836,124 × 1,643,836,124
  4. Step 4: Simplify right side
    810,639,566x = 2,702,197,202,567,343,616
  5. Step 5: Solve for x
    x = 2,702,197,202,567,343,616/810,639,566
  6. Step 6: Final answer
    x = 3,333,413,906.63

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.