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Finding the Third Proportional to 54,000 and 80,437.50

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Solution

The third proportional to 54,000 and 80,437.50 is: 119,818.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,000 : 80,437.50 = 80,437.50 : x
  2. Step 2: Convert to fraction form
    54,000/80,437.50 = 80,437.50/x
  3. Step 3: Cross multiply
    54,000x = 80,437.50 × 80,437.50
  4. Step 4: Simplify right side
    54,000x = 6,470,191,406.25
  5. Step 5: Solve for x
    x = 6,470,191,406.25/54,000
  6. Step 6: Final answer
    x = 119,818.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.