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Finding the Third Proportional to 125,684 and 260,120

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Solution

The third proportional to 125,684 and 260,120 is: 538,353.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,684 : 260,120 = 260,120 : x
  2. Step 2: Convert to fraction form
    125,684/260,120 = 260,120/x
  3. Step 3: Cross multiply
    125,684x = 260,120 × 260,120
  4. Step 4: Simplify right side
    125,684x = 67,662,414,400
  5. Step 5: Solve for x
    x = 67,662,414,400/125,684
  6. Step 6: Final answer
    x = 538,353.45

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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.