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Finding the Third Proportional to 71,760.94 and 102,720.66

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Solution

The third proportional to 71,760.94 and 102,720.66 is: 147,037.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,760.94 : 102,720.66 = 102,720.66 : x
  2. Step 2: Convert to fraction form
    71,760.94/102,720.66 = 102,720.66/x
  3. Step 3: Cross multiply
    71,760.94x = 102,720.66 × 102,720.66
  4. Step 4: Simplify right side
    71,760.94x = 10,551,533,220.43
  5. Step 5: Solve for x
    x = 10,551,533,220.43/71,760.94
  6. Step 6: Final answer
    x = 147,037.28

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.