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Finding the Third Proportional to 18,585 and 28,959.75

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Solution

The third proportional to 18,585 and 28,959.75 is: 45,126.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,585 : 28,959.75 = 28,959.75 : x
  2. Step 2: Convert to fraction form
    18,585/28,959.75 = 28,959.75/x
  3. Step 3: Cross multiply
    18,585x = 28,959.75 × 28,959.75
  4. Step 4: Simplify right side
    18,585x = 838,667,120.06
  5. Step 5: Solve for x
    x = 838,667,120.06/18,585
  6. Step 6: Final answer
    x = 45,126.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.