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Finding the Third Proportional to 38,315 and 51,136

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Solution

The third proportional to 38,315 and 51,136 is: 68,247.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,315 : 51,136 = 51,136 : x
  2. Step 2: Convert to fraction form
    38,315/51,136 = 51,136/x
  3. Step 3: Cross multiply
    38,315x = 51,136 × 51,136
  4. Step 4: Simplify right side
    38,315x = 2,614,890,496
  5. Step 5: Solve for x
    x = 2,614,890,496/38,315
  6. Step 6: Final answer
    x = 68,247.17

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.