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Finding the Third Proportional to 137,082 and 199,791

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Solution

The third proportional to 137,082 and 199,791 is: 291,186.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,082 : 199,791 = 199,791 : x
  2. Step 2: Convert to fraction form
    137,082/199,791 = 199,791/x
  3. Step 3: Cross multiply
    137,082x = 199,791 × 199,791
  4. Step 4: Simplify right side
    137,082x = 39,916,443,681
  5. Step 5: Solve for x
    x = 39,916,443,681/137,082
  6. Step 6: Final answer
    x = 291,186.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.