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Finding the Third Proportional to 231,156 and 506,376

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Solution

The third proportional to 231,156 and 506,376 is: 1,109,279.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,156 : 506,376 = 506,376 : x
  2. Step 2: Convert to fraction form
    231,156/506,376 = 506,376/x
  3. Step 3: Cross multiply
    231,156x = 506,376 × 506,376
  4. Step 4: Simplify right side
    231,156x = 256,416,653,376
  5. Step 5: Solve for x
    x = 256,416,653,376/231,156
  6. Step 6: Final answer
    x = 1,109,279.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.