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Finding the Third Proportional to 357,440 and 552,952

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Solution

The third proportional to 357,440 and 552,952 is: 855,404.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,440 : 552,952 = 552,952 : x
  2. Step 2: Convert to fraction form
    357,440/552,952 = 552,952/x
  3. Step 3: Cross multiply
    357,440x = 552,952 × 552,952
  4. Step 4: Simplify right side
    357,440x = 305,755,914,304
  5. Step 5: Solve for x
    x = 305,755,914,304/357,440
  6. Step 6: Final answer
    x = 855,404.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.