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Finding the Third Proportional to 69,423 and 151,686

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Solution

The third proportional to 69,423 and 151,686 is: 331,426.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,423 : 151,686 = 151,686 : x
  2. Step 2: Convert to fraction form
    69,423/151,686 = 151,686/x
  3. Step 3: Cross multiply
    69,423x = 151,686 × 151,686
  4. Step 4: Simplify right side
    69,423x = 23,008,642,596
  5. Step 5: Solve for x
    x = 23,008,642,596/69,423
  6. Step 6: Final answer
    x = 331,426.80

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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.