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Finding the Third Proportional to 78,473.50 and 110,557

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Solution

The third proportional to 78,473.50 and 110,557 is: 155,757.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,473.50 : 110,557 = 110,557 : x
  2. Step 2: Convert to fraction form
    78,473.50/110,557 = 110,557/x
  3. Step 3: Cross multiply
    78,473.50x = 110,557 × 110,557
  4. Step 4: Simplify right side
    78,473.50x = 12,222,850,249
  5. Step 5: Solve for x
    x = 12,222,850,249/78,473.50
  6. Step 6: Final answer
    x = 155,757.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.