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Finding the Third Proportional to 78,989 and 175,474

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Solution

The third proportional to 78,989 and 175,474 is: 389,815.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,989 : 175,474 = 175,474 : x
  2. Step 2: Convert to fraction form
    78,989/175,474 = 175,474/x
  3. Step 3: Cross multiply
    78,989x = 175,474 × 175,474
  4. Step 4: Simplify right side
    78,989x = 30,791,124,676
  5. Step 5: Solve for x
    x = 30,791,124,676/78,989
  6. Step 6: Final answer
    x = 389,815.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.