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Finding the Third Proportional to 258,758 and 386,539

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Solution

The third proportional to 258,758 and 386,539 is: 577,421.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,758 : 386,539 = 386,539 : x
  2. Step 2: Convert to fraction form
    258,758/386,539 = 386,539/x
  3. Step 3: Cross multiply
    258,758x = 386,539 × 386,539
  4. Step 4: Simplify right side
    258,758x = 149,412,398,521
  5. Step 5: Solve for x
    x = 149,412,398,521/258,758
  6. Step 6: Final answer
    x = 577,421.37

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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.