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Finding the Third Proportional to 134,987 and 209,555

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Solution

The third proportional to 134,987 and 209,555 is: 325,315.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,987 : 209,555 = 209,555 : x
  2. Step 2: Convert to fraction form
    134,987/209,555 = 209,555/x
  3. Step 3: Cross multiply
    134,987x = 209,555 × 209,555
  4. Step 4: Simplify right side
    134,987x = 43,913,298,025
  5. Step 5: Solve for x
    x = 43,913,298,025/134,987
  6. Step 6: Final answer
    x = 325,315.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.