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Finding the Third Proportional to 136,780.31 and 204,623.72

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Solution

The third proportional to 136,780.31 and 204,623.72 is: 306,117.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,780.31 : 204,623.72 = 204,623.72 : x
  2. Step 2: Convert to fraction form
    136,780.31/204,623.72 = 204,623.72/x
  3. Step 3: Cross multiply
    136,780.31x = 204,623.72 × 204,623.72
  4. Step 4: Simplify right side
    136,780.31x = 41,870,866,275.08
  5. Step 5: Solve for x
    x = 41,870,866,275.08/136,780.31
  6. Step 6: Final answer
    x = 306,117.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.