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Finding the Third Proportional to 78,065 and 169,157

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Solution

The third proportional to 78,065 and 169,157 is: 366,541.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,065 : 169,157 = 169,157 : x
  2. Step 2: Convert to fraction form
    78,065/169,157 = 169,157/x
  3. Step 3: Cross multiply
    78,065x = 169,157 × 169,157
  4. Step 4: Simplify right side
    78,065x = 28,614,090,649
  5. Step 5: Solve for x
    x = 28,614,090,649/78,065
  6. Step 6: Final answer
    x = 366,541.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.