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Finding the Third Proportional to 234,120 and 503,750

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Solution

The third proportional to 234,120 and 503,750 is: 1,083,905.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,120 : 503,750 = 503,750 : x
  2. Step 2: Convert to fraction form
    234,120/503,750 = 503,750/x
  3. Step 3: Cross multiply
    234,120x = 503,750 × 503,750
  4. Step 4: Simplify right side
    234,120x = 253,764,062,500
  5. Step 5: Solve for x
    x = 253,764,062,500/234,120
  6. Step 6: Final answer
    x = 1,083,905.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.