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Finding the Third Proportional to 53,150 and 81,136

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Solution

The third proportional to 53,150 and 81,136 is: 123,857.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,150 : 81,136 = 81,136 : x
  2. Step 2: Convert to fraction form
    53,150/81,136 = 81,136/x
  3. Step 3: Cross multiply
    53,150x = 81,136 × 81,136
  4. Step 4: Simplify right side
    53,150x = 6,583,050,496
  5. Step 5: Solve for x
    x = 6,583,050,496/53,150
  6. Step 6: Final answer
    x = 123,857.96

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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.