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Finding the Third Proportional to 411,755,748 and 905,127,422

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Solution

The third proportional to 411,755,748 and 905,127,422 is: 1,989,664,149.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,755,748 : 905,127,422 = 905,127,422 : x
  2. Step 2: Convert to fraction form
    411,755,748/905,127,422 = 905,127,422/x
  3. Step 3: Cross multiply
    411,755,748x = 905,127,422 × 905,127,422
  4. Step 4: Simplify right side
    411,755,748x = 819,255,650,056,366,080
  5. Step 5: Solve for x
    x = 819,255,650,056,366,080/411,755,748
  6. Step 6: Final answer
    x = 1,989,664,149.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.