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Finding the Third Proportional to 71,136.56 and 148,807.13

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Solution

The third proportional to 71,136.56 and 148,807.13 is: 311,282.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,136.56 : 148,807.13 = 148,807.13 : x
  2. Step 2: Convert to fraction form
    71,136.56/148,807.13 = 148,807.13/x
  3. Step 3: Cross multiply
    71,136.56x = 148,807.13 × 148,807.13
  4. Step 4: Simplify right side
    71,136.56x = 22,143,560,450.77
  5. Step 5: Solve for x
    x = 22,143,560,450.77/71,136.56
  6. Step 6: Final answer
    x = 311,282.41

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.