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Finding the Third Proportional to 80,384 and 118,252.50

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Solution

The third proportional to 80,384 and 118,252.50 is: 173,960.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,384 : 118,252.50 = 118,252.50 : x
  2. Step 2: Convert to fraction form
    80,384/118,252.50 = 118,252.50/x
  3. Step 3: Cross multiply
    80,384x = 118,252.50 × 118,252.50
  4. Step 4: Simplify right side
    80,384x = 13,983,653,756.25
  5. Step 5: Solve for x
    x = 13,983,653,756.25/80,384
  6. Step 6: Final answer
    x = 173,960.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.