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Finding the Third Proportional to 131,820 and 284,376

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Solution

The third proportional to 131,820 and 284,376 is: 613,485.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,820 : 284,376 = 284,376 : x
  2. Step 2: Convert to fraction form
    131,820/284,376 = 284,376/x
  3. Step 3: Cross multiply
    131,820x = 284,376 × 284,376
  4. Step 4: Simplify right side
    131,820x = 80,869,709,376
  5. Step 5: Solve for x
    x = 80,869,709,376/131,820
  6. Step 6: Final answer
    x = 613,485.89

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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.