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Finding the Third Proportional to 55,336 and 84,624

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Solution

The third proportional to 55,336 and 84,624 is: 129,413.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,336 : 84,624 = 84,624 : x
  2. Step 2: Convert to fraction form
    55,336/84,624 = 84,624/x
  3. Step 3: Cross multiply
    55,336x = 84,624 × 84,624
  4. Step 4: Simplify right side
    55,336x = 7,161,221,376
  5. Step 5: Solve for x
    x = 7,161,221,376/55,336
  6. Step 6: Final answer
    x = 129,413.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.