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Finding the Third Proportional to 120,291.75 and 168,174.56

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Solution

The third proportional to 120,291.75 and 168,174.56 is: 235,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,291.75 : 168,174.56 = 168,174.56 : x
  2. Step 2: Convert to fraction form
    120,291.75/168,174.56 = 168,174.56/x
  3. Step 3: Cross multiply
    120,291.75x = 168,174.56 × 168,174.56
  4. Step 4: Simplify right side
    120,291.75x = 28,282,683,472.07
  5. Step 5: Solve for x
    x = 28,282,683,472.07/120,291.75
  6. Step 6: Final answer
    x = 235,117.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.