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Finding the Third Proportional to 458,866 and 858,475

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Solution

The third proportional to 458,866 and 858,475 is: 1,606,088.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,866 : 858,475 = 858,475 : x
  2. Step 2: Convert to fraction form
    458,866/858,475 = 858,475/x
  3. Step 3: Cross multiply
    458,866x = 858,475 × 858,475
  4. Step 4: Simplify right side
    458,866x = 736,979,325,625
  5. Step 5: Solve for x
    x = 736,979,325,625/458,866
  6. Step 6: Final answer
    x = 1,606,088.33

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.