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Finding the Third Proportional to 72,320 and 148,163

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Solution

The third proportional to 72,320 and 148,163 is: 303,543.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,320 : 148,163 = 148,163 : x
  2. Step 2: Convert to fraction form
    72,320/148,163 = 148,163/x
  3. Step 3: Cross multiply
    72,320x = 148,163 × 148,163
  4. Step 4: Simplify right side
    72,320x = 21,952,274,569
  5. Step 5: Solve for x
    x = 21,952,274,569/72,320
  6. Step 6: Final answer
    x = 303,543.62

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.