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Finding the Third Proportional to 80,502.19 and 118,290.56

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Solution

The third proportional to 80,502.19 and 118,290.56 is: 173,817.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,502.19 : 118,290.56 = 118,290.56 : x
  2. Step 2: Convert to fraction form
    80,502.19/118,290.56 = 118,290.56/x
  3. Step 3: Cross multiply
    80,502.19x = 118,290.56 × 118,290.56
  4. Step 4: Simplify right side
    80,502.19x = 13,992,657,176.57
  5. Step 5: Solve for x
    x = 13,992,657,176.57/80,502.19
  6. Step 6: Final answer
    x = 173,817.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.