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Finding the Third Proportional to 642,024 and 858,924

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Solution

The third proportional to 642,024 and 858,924 is: 1,149,101.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,024 : 858,924 = 858,924 : x
  2. Step 2: Convert to fraction form
    642,024/858,924 = 858,924/x
  3. Step 3: Cross multiply
    642,024x = 858,924 × 858,924
  4. Step 4: Simplify right side
    642,024x = 737,750,437,776
  5. Step 5: Solve for x
    x = 737,750,437,776/642,024
  6. Step 6: Final answer
    x = 1,149,101.03

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.