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Finding the Third Proportional to 51,552 and 77,136

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Solution

The third proportional to 51,552 and 77,136 is: 115,416.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,552 : 77,136 = 77,136 : x
  2. Step 2: Convert to fraction form
    51,552/77,136 = 77,136/x
  3. Step 3: Cross multiply
    51,552x = 77,136 × 77,136
  4. Step 4: Simplify right side
    51,552x = 5,949,962,496
  5. Step 5: Solve for x
    x = 5,949,962,496/51,552
  6. Step 6: Final answer
    x = 115,416.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.