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Finding the Third Proportional to 20,306 and 31,035

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Solution

The third proportional to 20,306 and 31,035 is: 47,432.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,306 : 31,035 = 31,035 : x
  2. Step 2: Convert to fraction form
    20,306/31,035 = 31,035/x
  3. Step 3: Cross multiply
    20,306x = 31,035 × 31,035
  4. Step 4: Simplify right side
    20,306x = 963,171,225
  5. Step 5: Solve for x
    x = 963,171,225/20,306
  6. Step 6: Final answer
    x = 47,432.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.