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Finding the Third Proportional to 136,439.75 and 296,731.48

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Solution

The third proportional to 136,439.75 and 296,731.48 is: 645,336.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,439.75 : 296,731.48 = 296,731.48 : x
  2. Step 2: Convert to fraction form
    136,439.75/296,731.48 = 296,731.48/x
  3. Step 3: Cross multiply
    136,439.75x = 296,731.48 × 296,731.48
  4. Step 4: Simplify right side
    136,439.75x = 88,049,569,182.96
  5. Step 5: Solve for x
    x = 88,049,569,182.96/136,439.75
  6. Step 6: Final answer
    x = 645,336.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.