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Finding the Third Proportional to 78,311.50 and 118,561

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Solution

The third proportional to 78,311.50 and 118,561 is: 179,497.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,311.50 : 118,561 = 118,561 : x
  2. Step 2: Convert to fraction form
    78,311.50/118,561 = 118,561/x
  3. Step 3: Cross multiply
    78,311.50x = 118,561 × 118,561
  4. Step 4: Simplify right side
    78,311.50x = 14,056,710,721
  5. Step 5: Solve for x
    x = 14,056,710,721/78,311.50
  6. Step 6: Final answer
    x = 179,497.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.