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Finding the Third Proportional to 67,315 and 147,686

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Solution

The third proportional to 67,315 and 147,686 is: 324,016.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,315 : 147,686 = 147,686 : x
  2. Step 2: Convert to fraction form
    67,315/147,686 = 147,686/x
  3. Step 3: Cross multiply
    67,315x = 147,686 × 147,686
  4. Step 4: Simplify right side
    67,315x = 21,811,154,596
  5. Step 5: Solve for x
    x = 21,811,154,596/67,315
  6. Step 6: Final answer
    x = 324,016.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.