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Finding the Third Proportional to 644,551 and 1,403,798

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Solution

The third proportional to 644,551 and 1,403,798 is: 3,057,397.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,551 : 1,403,798 = 1,403,798 : x
  2. Step 2: Convert to fraction form
    644,551/1,403,798 = 1,403,798/x
  3. Step 3: Cross multiply
    644,551x = 1,403,798 × 1,403,798
  4. Step 4: Simplify right side
    644,551x = 1,970,648,824,804
  5. Step 5: Solve for x
    x = 1,970,648,824,804/644,551
  6. Step 6: Final answer
    x = 3,057,397.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.