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Finding the Third Proportional to 125,912 and 255,472

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Solution

The third proportional to 125,912 and 255,472 is: 518,345.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,912 : 255,472 = 255,472 : x
  2. Step 2: Convert to fraction form
    125,912/255,472 = 255,472/x
  3. Step 3: Cross multiply
    125,912x = 255,472 × 255,472
  4. Step 4: Simplify right side
    125,912x = 65,265,942,784
  5. Step 5: Solve for x
    x = 65,265,942,784/125,912
  6. Step 6: Final answer
    x = 518,345.69

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.