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Finding the Third Proportional to 128,850 and 204,987

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Solution

The third proportional to 128,850 and 204,987 is: 326,113.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,850 : 204,987 = 204,987 : x
  2. Step 2: Convert to fraction form
    128,850/204,987 = 204,987/x
  3. Step 3: Cross multiply
    128,850x = 204,987 × 204,987
  4. Step 4: Simplify right side
    128,850x = 42,019,670,169
  5. Step 5: Solve for x
    x = 42,019,670,169/128,850
  6. Step 6: Final answer
    x = 326,113.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.