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Finding the Third Proportional to 488,907 and 657,908

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Solution

The third proportional to 488,907 and 657,908 is: 885,327.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,907 : 657,908 = 657,908 : x
  2. Step 2: Convert to fraction form
    488,907/657,908 = 657,908/x
  3. Step 3: Cross multiply
    488,907x = 657,908 × 657,908
  4. Step 4: Simplify right side
    488,907x = 432,842,936,464
  5. Step 5: Solve for x
    x = 432,842,936,464/488,907
  6. Step 6: Final answer
    x = 885,327.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.