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Finding the Third Proportional to 130,322.25 and 285,553.69

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Solution

The third proportional to 130,322.25 and 285,553.69 is: 625,686.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,322.25 : 285,553.69 = 285,553.69 : x
  2. Step 2: Convert to fraction form
    130,322.25/285,553.69 = 285,553.69/x
  3. Step 3: Cross multiply
    130,322.25x = 285,553.69 × 285,553.69
  4. Step 4: Simplify right side
    130,322.25x = 81,540,908,444.85
  5. Step 5: Solve for x
    x = 81,540,908,444.85/130,322.25
  6. Step 6: Final answer
    x = 625,686.78

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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.