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Finding the Third Proportional to 647,755,729 and 1,398,728,342

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Solution

The third proportional to 647,755,729 and 1,398,728,342 is: 3,020,337,585.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,755,729 : 1,398,728,342 = 1,398,728,342 : x
  2. Step 2: Convert to fraction form
    647,755,729/1,398,728,342 = 1,398,728,342/x
  3. Step 3: Cross multiply
    647,755,729x = 1,398,728,342 × 1,398,728,342
  4. Step 4: Simplify right side
    647,755,729x = 1,956,440,974,714,068,992
  5. Step 5: Solve for x
    x = 1,956,440,974,714,068,992/647,755,729
  6. Step 6: Final answer
    x = 3,020,337,585.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.