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Finding the Third Proportional to 287,808 and 629,940

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Solution

The third proportional to 287,808 and 629,940 is: 1,378,781.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,808 : 629,940 = 629,940 : x
  2. Step 2: Convert to fraction form
    287,808/629,940 = 629,940/x
  3. Step 3: Cross multiply
    287,808x = 629,940 × 629,940
  4. Step 4: Simplify right side
    287,808x = 396,824,403,600
  5. Step 5: Solve for x
    x = 396,824,403,600/287,808
  6. Step 6: Final answer
    x = 1,378,781.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.