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Finding the Third Proportional to 258,300 and 387,711

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Solution

The third proportional to 258,300 and 387,711 is: 581,958.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,300 : 387,711 = 387,711 : x
  2. Step 2: Convert to fraction form
    258,300/387,711 = 387,711/x
  3. Step 3: Cross multiply
    258,300x = 387,711 × 387,711
  4. Step 4: Simplify right side
    258,300x = 150,319,819,521
  5. Step 5: Solve for x
    x = 150,319,819,521/258,300
  6. Step 6: Final answer
    x = 581,958.26

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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.