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Finding the Third Proportional to 130,278.38 and 206,458.88

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Solution

The third proportional to 130,278.38 and 206,458.88 is: 327,186.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,278.38 : 206,458.88 = 206,458.88 : x
  2. Step 2: Convert to fraction form
    130,278.38/206,458.88 = 206,458.88/x
  3. Step 3: Cross multiply
    130,278.38x = 206,458.88 × 206,458.88
  4. Step 4: Simplify right side
    130,278.38x = 42,625,267,066.27
  5. Step 5: Solve for x
    x = 42,625,267,066.27/130,278.38
  6. Step 6: Final answer
    x = 327,186.05

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.