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Finding the Third Proportional to 159,382 and 343,354

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Solution

The third proportional to 159,382 and 343,354 is: 739,681.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,382 : 343,354 = 343,354 : x
  2. Step 2: Convert to fraction form
    159,382/343,354 = 343,354/x
  3. Step 3: Cross multiply
    159,382x = 343,354 × 343,354
  4. Step 4: Simplify right side
    159,382x = 117,891,969,316
  5. Step 5: Solve for x
    x = 117,891,969,316/159,382
  6. Step 6: Final answer
    x = 739,681.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.