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Finding the Third Proportional to 129,865.78 and 207,459.56

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Solution

The third proportional to 129,865.78 and 207,459.56 is: 331,415.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,865.78 : 207,459.56 = 207,459.56 : x
  2. Step 2: Convert to fraction form
    129,865.78/207,459.56 = 207,459.56/x
  3. Step 3: Cross multiply
    129,865.78x = 207,459.56 × 207,459.56
  4. Step 4: Simplify right side
    129,865.78x = 43,039,470,072.69
  5. Step 5: Solve for x
    x = 43,039,470,072.69/129,865.78
  6. Step 6: Final answer
    x = 331,415.02

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.