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Finding the Third Proportional to 173,432 and 378,376

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Solution

The third proportional to 173,432 and 378,376 is: 825,501.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,432 : 378,376 = 378,376 : x
  2. Step 2: Convert to fraction form
    173,432/378,376 = 378,376/x
  3. Step 3: Cross multiply
    173,432x = 378,376 × 378,376
  4. Step 4: Simplify right side
    173,432x = 143,168,397,376
  5. Step 5: Solve for x
    x = 143,168,397,376/173,432
  6. Step 6: Final answer
    x = 825,501.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.