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Finding the Third Proportional to 185,712 and 400,980

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Solution

The third proportional to 185,712 and 400,980 is: 865,775.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,712 : 400,980 = 400,980 : x
  2. Step 2: Convert to fraction form
    185,712/400,980 = 400,980/x
  3. Step 3: Cross multiply
    185,712x = 400,980 × 400,980
  4. Step 4: Simplify right side
    185,712x = 160,784,960,400
  5. Step 5: Solve for x
    x = 160,784,960,400/185,712
  6. Step 6: Final answer
    x = 865,775.83

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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.