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Finding the Third Proportional to 31,309 and 48,487

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Solution

The third proportional to 31,309 and 48,487 is: 75,089.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,309 : 48,487 = 48,487 : x
  2. Step 2: Convert to fraction form
    31,309/48,487 = 48,487/x
  3. Step 3: Cross multiply
    31,309x = 48,487 × 48,487
  4. Step 4: Simplify right side
    31,309x = 2,350,989,169
  5. Step 5: Solve for x
    x = 2,350,989,169/31,309
  6. Step 6: Final answer
    x = 75,089.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.