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Finding the Third Proportional to 31,418 and 48,135

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Solution

The third proportional to 31,418 and 48,135 is: 73,746.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,418 : 48,135 = 48,135 : x
  2. Step 2: Convert to fraction form
    31,418/48,135 = 48,135/x
  3. Step 3: Cross multiply
    31,418x = 48,135 × 48,135
  4. Step 4: Simplify right side
    31,418x = 2,316,978,225
  5. Step 5: Solve for x
    x = 2,316,978,225/31,418
  6. Step 6: Final answer
    x = 73,746.84

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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.