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Finding the Third Proportional to 54,624 and 78,000

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Solution

The third proportional to 54,624 and 78,000 is: 111,379.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,624 : 78,000 = 78,000 : x
  2. Step 2: Convert to fraction form
    54,624/78,000 = 78,000/x
  3. Step 3: Cross multiply
    54,624x = 78,000 × 78,000
  4. Step 4: Simplify right side
    54,624x = 6,084,000,000
  5. Step 5: Solve for x
    x = 6,084,000,000/54,624
  6. Step 6: Final answer
    x = 111,379.61

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.