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Finding the Third Proportional to 258,479 and 386,169

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Solution

The third proportional to 258,479 and 386,169 is: 576,938.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,479 : 386,169 = 386,169 : x
  2. Step 2: Convert to fraction form
    258,479/386,169 = 386,169/x
  3. Step 3: Cross multiply
    258,479x = 386,169 × 386,169
  4. Step 4: Simplify right side
    258,479x = 149,126,496,561
  5. Step 5: Solve for x
    x = 149,126,496,561/258,479
  6. Step 6: Final answer
    x = 576,938.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.