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Finding the Third Proportional to 80,200.50 and 119,053.50

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Solution

The third proportional to 80,200.50 and 119,053.50 is: 176,728.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,200.50 : 119,053.50 = 119,053.50 : x
  2. Step 2: Convert to fraction form
    80,200.50/119,053.50 = 119,053.50/x
  3. Step 3: Cross multiply
    80,200.50x = 119,053.50 × 119,053.50
  4. Step 4: Simplify right side
    80,200.50x = 14,173,735,862.25
  5. Step 5: Solve for x
    x = 14,173,735,862.25/80,200.50
  6. Step 6: Final answer
    x = 176,728.77

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.