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Finding the Third Proportional to 488,872.13 and 657,855

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Solution

The third proportional to 488,872.13 and 657,855 is: 885,248.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,872.13 : 657,855 = 657,855 : x
  2. Step 2: Convert to fraction form
    488,872.13/657,855 = 657,855/x
  3. Step 3: Cross multiply
    488,872.13x = 657,855 × 657,855
  4. Step 4: Simplify right side
    488,872.13x = 432,773,201,025
  5. Step 5: Solve for x
    x = 432,773,201,025/488,872.13
  6. Step 6: Final answer
    x = 885,248.27

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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.