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Finding the Third Proportional to 125,200 and 258,688

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Solution

The third proportional to 125,200 and 258,688 is: 534,500.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,200 : 258,688 = 258,688 : x
  2. Step 2: Convert to fraction form
    125,200/258,688 = 258,688/x
  3. Step 3: Cross multiply
    125,200x = 258,688 × 258,688
  4. Step 4: Simplify right side
    125,200x = 66,919,481,344
  5. Step 5: Solve for x
    x = 66,919,481,344/125,200
  6. Step 6: Final answer
    x = 534,500.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.