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Finding the Third Proportional to 381,336 and 560,988

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Solution

The third proportional to 381,336 and 560,988 is: 825,276.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,336 : 560,988 = 560,988 : x
  2. Step 2: Convert to fraction form
    381,336/560,988 = 560,988/x
  3. Step 3: Cross multiply
    381,336x = 560,988 × 560,988
  4. Step 4: Simplify right side
    381,336x = 314,707,536,144
  5. Step 5: Solve for x
    x = 314,707,536,144/381,336
  6. Step 6: Final answer
    x = 825,276.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.