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Finding the Third Proportional to 185,716 and 400,988

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Solution

The third proportional to 185,716 and 400,988 is: 865,791.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,716 : 400,988 = 400,988 : x
  2. Step 2: Convert to fraction form
    185,716/400,988 = 400,988/x
  3. Step 3: Cross multiply
    185,716x = 400,988 × 400,988
  4. Step 4: Simplify right side
    185,716x = 160,791,376,144
  5. Step 5: Solve for x
    x = 160,791,376,144/185,716
  6. Step 6: Final answer
    x = 865,791.73

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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.