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Finding the Third Proportional to 130,213.50 and 285,357

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Solution

The third proportional to 130,213.50 and 285,357 is: 625,346.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,213.50 : 285,357 = 285,357 : x
  2. Step 2: Convert to fraction form
    130,213.50/285,357 = 285,357/x
  3. Step 3: Cross multiply
    130,213.50x = 285,357 × 285,357
  4. Step 4: Simplify right side
    130,213.50x = 81,428,617,449
  5. Step 5: Solve for x
    x = 81,428,617,449/130,213.50
  6. Step 6: Final answer
    x = 625,346.97

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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.