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Finding the Third Proportional to 386,602 and 578,103

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Solution

The third proportional to 386,602 and 578,103 is: 864,462.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,602 : 578,103 = 578,103 : x
  2. Step 2: Convert to fraction form
    386,602/578,103 = 578,103/x
  3. Step 3: Cross multiply
    386,602x = 578,103 × 578,103
  4. Step 4: Simplify right side
    386,602x = 334,203,078,609
  5. Step 5: Solve for x
    x = 334,203,078,609/386,602
  6. Step 6: Final answer
    x = 864,462.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.