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Finding the Third Proportional to 130,359.38 and 285,631.31

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Solution

The third proportional to 130,359.38 and 285,631.31 is: 625,848.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,359.38 : 285,631.31 = 285,631.31 : x
  2. Step 2: Convert to fraction form
    130,359.38/285,631.31 = 285,631.31/x
  3. Step 3: Cross multiply
    130,359.38x = 285,631.31 × 285,631.31
  4. Step 4: Simplify right side
    130,359.38x = 81,585,246,680.47
  5. Step 5: Solve for x
    x = 81,585,246,680.47/130,359.38
  6. Step 6: Final answer
    x = 625,848.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.