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Finding the Third Proportional to 138,699 and 299,082

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Solution

The third proportional to 138,699 and 299,082 is: 644,922.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,699 : 299,082 = 299,082 : x
  2. Step 2: Convert to fraction form
    138,699/299,082 = 299,082/x
  3. Step 3: Cross multiply
    138,699x = 299,082 × 299,082
  4. Step 4: Simplify right side
    138,699x = 89,450,042,724
  5. Step 5: Solve for x
    x = 89,450,042,724/138,699
  6. Step 6: Final answer
    x = 644,922.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.