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Finding the Third Proportional to 53,406 and 79,920

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Solution

The third proportional to 53,406 and 79,920 is: 119,597.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,406 : 79,920 = 79,920 : x
  2. Step 2: Convert to fraction form
    53,406/79,920 = 79,920/x
  3. Step 3: Cross multiply
    53,406x = 79,920 × 79,920
  4. Step 4: Simplify right side
    53,406x = 6,387,206,400
  5. Step 5: Solve for x
    x = 6,387,206,400/53,406
  6. Step 6: Final answer
    x = 119,597.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.