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Finding the Third Proportional to 120,617.23 and 177,417.53

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Solution

The third proportional to 120,617.23 and 177,417.53 is: 260,965.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,617.23 : 177,417.53 = 177,417.53 : x
  2. Step 2: Convert to fraction form
    120,617.23/177,417.53 = 177,417.53/x
  3. Step 3: Cross multiply
    120,617.23x = 177,417.53 × 177,417.53
  4. Step 4: Simplify right side
    120,617.23x = 31,476,979,008.77
  5. Step 5: Solve for x
    x = 31,476,979,008.77/120,617.23
  6. Step 6: Final answer
    x = 260,965.87

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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.