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Finding the Third Proportional to 159,438 and 338,316

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Solution

The third proportional to 159,438 and 338,316 is: 717,882.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,438 : 338,316 = 338,316 : x
  2. Step 2: Convert to fraction form
    159,438/338,316 = 338,316/x
  3. Step 3: Cross multiply
    159,438x = 338,316 × 338,316
  4. Step 4: Simplify right side
    159,438x = 114,457,715,856
  5. Step 5: Solve for x
    x = 114,457,715,856/159,438
  6. Step 6: Final answer
    x = 717,882.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.