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Finding the Third Proportional to 77,770.50 and 163,373

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Solution

The third proportional to 77,770.50 and 163,373 is: 343,198.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,770.50 : 163,373 = 163,373 : x
  2. Step 2: Convert to fraction form
    77,770.50/163,373 = 163,373/x
  3. Step 3: Cross multiply
    77,770.50x = 163,373 × 163,373
  4. Step 4: Simplify right side
    77,770.50x = 26,690,737,129
  5. Step 5: Solve for x
    x = 26,690,737,129/77,770.50
  6. Step 6: Final answer
    x = 343,198.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.