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Finding the Third Proportional to 185,508 and 400,660

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Solution

The third proportional to 185,508 and 400,660 is: 865,345.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,508 : 400,660 = 400,660 : x
  2. Step 2: Convert to fraction form
    185,508/400,660 = 400,660/x
  3. Step 3: Cross multiply
    185,508x = 400,660 × 400,660
  4. Step 4: Simplify right side
    185,508x = 160,528,435,600
  5. Step 5: Solve for x
    x = 160,528,435,600/185,508
  6. Step 6: Final answer
    x = 865,345.08

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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.