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Finding the Third Proportional to 125,098 and 255,290

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Solution

The third proportional to 125,098 and 255,290 is: 520,975.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,098 : 255,290 = 255,290 : x
  2. Step 2: Convert to fraction form
    125,098/255,290 = 255,290/x
  3. Step 3: Cross multiply
    125,098x = 255,290 × 255,290
  4. Step 4: Simplify right side
    125,098x = 65,172,984,100
  5. Step 5: Solve for x
    x = 65,172,984,100/125,098
  6. Step 6: Final answer
    x = 520,975.43

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.