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Finding the Third Proportional to 60,219.56 and 129,688.31

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Solution

The third proportional to 60,219.56 and 129,688.31 is: 279,295.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,219.56 : 129,688.31 = 129,688.31 : x
  2. Step 2: Convert to fraction form
    60,219.56/129,688.31 = 129,688.31/x
  3. Step 3: Cross multiply
    60,219.56x = 129,688.31 × 129,688.31
  4. Step 4: Simplify right side
    60,219.56x = 16,819,058,399.10
  5. Step 5: Solve for x
    x = 16,819,058,399.10/60,219.56
  6. Step 6: Final answer
    x = 279,295.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.