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Finding the Third Proportional to 71,063 and 118,432.50

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Solution

The third proportional to 71,063 and 118,432.50 is: 197,377.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,063 : 118,432.50 = 118,432.50 : x
  2. Step 2: Convert to fraction form
    71,063/118,432.50 = 118,432.50/x
  3. Step 3: Cross multiply
    71,063x = 118,432.50 × 118,432.50
  4. Step 4: Simplify right side
    71,063x = 14,026,257,056.25
  5. Step 5: Solve for x
    x = 14,026,257,056.25/71,063
  6. Step 6: Final answer
    x = 197,377.78

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.