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Finding the Third Proportional to 393,464 and 858,051

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Solution

The third proportional to 393,464 and 858,051 is: 1,871,204.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,464 : 858,051 = 858,051 : x
  2. Step 2: Convert to fraction form
    393,464/858,051 = 858,051/x
  3. Step 3: Cross multiply
    393,464x = 858,051 × 858,051
  4. Step 4: Simplify right side
    393,464x = 736,251,518,601
  5. Step 5: Solve for x
    x = 736,251,518,601/393,464
  6. Step 6: Final answer
    x = 1,871,204.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.