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Finding the Third Proportional to 12,157.59 and 18,159.19

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Solution

The third proportional to 12,157.59 and 18,159.19 is: 27,123.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.59 : 18,159.19 = 18,159.19 : x
  2. Step 2: Convert to fraction form
    12,157.59/18,159.19 = 18,159.19/x
  3. Step 3: Cross multiply
    12,157.59x = 18,159.19 × 18,159.19
  4. Step 4: Simplify right side
    12,157.59x = 329,756,090.66
  5. Step 5: Solve for x
    x = 329,756,090.66/12,157.59
  6. Step 6: Final answer
    x = 27,123.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.