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Finding the Third Proportional to 386,307 and 598,149

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Solution

The third proportional to 386,307 and 598,149 is: 926,160.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,307 : 598,149 = 598,149 : x
  2. Step 2: Convert to fraction form
    386,307/598,149 = 598,149/x
  3. Step 3: Cross multiply
    386,307x = 598,149 × 598,149
  4. Step 4: Simplify right side
    386,307x = 357,782,226,201
  5. Step 5: Solve for x
    x = 357,782,226,201/386,307
  6. Step 6: Final answer
    x = 926,160.35

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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.