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Finding the Third Proportional to 49,400.50 and 78,475

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Solution

The third proportional to 49,400.50 and 78,475 is: 124,661.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,400.50 : 78,475 = 78,475 : x
  2. Step 2: Convert to fraction form
    49,400.50/78,475 = 78,475/x
  3. Step 3: Cross multiply
    49,400.50x = 78,475 × 78,475
  4. Step 4: Simplify right side
    49,400.50x = 6,158,325,625
  5. Step 5: Solve for x
    x = 6,158,325,625/49,400.50
  6. Step 6: Final answer
    x = 124,661.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.