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Finding the Third Proportional to 78,195 and 170,422.50

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Solution

The third proportional to 78,195 and 170,422.50 is: 371,428.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,195 : 170,422.50 = 170,422.50 : x
  2. Step 2: Convert to fraction form
    78,195/170,422.50 = 170,422.50/x
  3. Step 3: Cross multiply
    78,195x = 170,422.50 × 170,422.50
  4. Step 4: Simplify right side
    78,195x = 29,043,828,506.25
  5. Step 5: Solve for x
    x = 29,043,828,506.25/78,195
  6. Step 6: Final answer
    x = 371,428.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.