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Finding the Third Proportional to 83,473.88 and 196,850.25

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Solution

The third proportional to 83,473.88 and 196,850.25 is: 464,217.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,473.88 : 196,850.25 = 196,850.25 : x
  2. Step 2: Convert to fraction form
    83,473.88/196,850.25 = 196,850.25/x
  3. Step 3: Cross multiply
    83,473.88x = 196,850.25 × 196,850.25
  4. Step 4: Simplify right side
    83,473.88x = 38,750,020,925.06
  5. Step 5: Solve for x
    x = 38,750,020,925.06/83,473.88
  6. Step 6: Final answer
    x = 464,217.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.