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Finding the Third Proportional to 137,872 and 284,364

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Solution

The third proportional to 137,872 and 284,364 is: 586,506.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,872 : 284,364 = 284,364 : x
  2. Step 2: Convert to fraction form
    137,872/284,364 = 284,364/x
  3. Step 3: Cross multiply
    137,872x = 284,364 × 284,364
  4. Step 4: Simplify right side
    137,872x = 80,862,884,496
  5. Step 5: Solve for x
    x = 80,862,884,496/137,872
  6. Step 6: Final answer
    x = 586,506.94

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.