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Finding the Third Proportional to 132,420.75 and 289,429.13

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Solution

The third proportional to 132,420.75 and 289,429.13 is: 632,598.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,420.75 : 289,429.13 = 289,429.13 : x
  2. Step 2: Convert to fraction form
    132,420.75/289,429.13 = 289,429.13/x
  3. Step 3: Cross multiply
    132,420.75x = 289,429.13 × 289,429.13
  4. Step 4: Simplify right side
    132,420.75x = 83,769,218,398.27
  5. Step 5: Solve for x
    x = 83,769,218,398.27/132,420.75
  6. Step 6: Final answer
    x = 632,598.88

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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.