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Finding the Third Proportional to 72,578.44 and 156,834.19

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Solution

The third proportional to 72,578.44 and 156,834.19 is: 338,901.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,578.44 : 156,834.19 = 156,834.19 : x
  2. Step 2: Convert to fraction form
    72,578.44/156,834.19 = 156,834.19/x
  3. Step 3: Cross multiply
    72,578.44x = 156,834.19 × 156,834.19
  4. Step 4: Simplify right side
    72,578.44x = 24,596,962,368.79
  5. Step 5: Solve for x
    x = 24,596,962,368.79/72,578.44
  6. Step 6: Final answer
    x = 338,901.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.