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Finding the Third Proportional to 72,065 and 115,122

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Solution

The third proportional to 72,065 and 115,122 is: 183,904.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,065 : 115,122 = 115,122 : x
  2. Step 2: Convert to fraction form
    72,065/115,122 = 115,122/x
  3. Step 3: Cross multiply
    72,065x = 115,122 × 115,122
  4. Step 4: Simplify right side
    72,065x = 13,253,074,884
  5. Step 5: Solve for x
    x = 13,253,074,884/72,065
  6. Step 6: Final answer
    x = 183,904.46

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.