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Finding the Third Proportional to 129,005.44 and 291,456.19

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Solution

The third proportional to 129,005.44 and 291,456.19 is: 658,473.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,005.44 : 291,456.19 = 291,456.19 : x
  2. Step 2: Convert to fraction form
    129,005.44/291,456.19 = 291,456.19/x
  3. Step 3: Cross multiply
    129,005.44x = 291,456.19 × 291,456.19
  4. Step 4: Simplify right side
    129,005.44x = 84,946,709,232.04
  5. Step 5: Solve for x
    x = 84,946,709,232.04/129,005.44
  6. Step 6: Final answer
    x = 658,473.87

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.