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Finding the Third Proportional to 52,403 and 83,035

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Solution

The third proportional to 52,403 and 83,035 is: 131,572.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,403 : 83,035 = 83,035 : x
  2. Step 2: Convert to fraction form
    52,403/83,035 = 83,035/x
  3. Step 3: Cross multiply
    52,403x = 83,035 × 83,035
  4. Step 4: Simplify right side
    52,403x = 6,894,811,225
  5. Step 5: Solve for x
    x = 6,894,811,225/52,403
  6. Step 6: Final answer
    x = 131,572.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.