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Finding the Third Proportional to 129,009.56 and 291,466.69

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Solution

The third proportional to 129,009.56 and 291,466.69 is: 658,500.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,009.56 : 291,466.69 = 291,466.69 : x
  2. Step 2: Convert to fraction form
    129,009.56/291,466.69 = 291,466.69/x
  3. Step 3: Cross multiply
    129,009.56x = 291,466.69 × 291,466.69
  4. Step 4: Simplify right side
    129,009.56x = 84,952,829,922.22
  5. Step 5: Solve for x
    x = 84,952,829,922.22/129,009.56
  6. Step 6: Final answer
    x = 658,500.26

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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.