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Finding the Third Proportional to 69,915 and 151,494

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Solution

The third proportional to 69,915 and 151,494 is: 328,261.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,915 : 151,494 = 151,494 : x
  2. Step 2: Convert to fraction form
    69,915/151,494 = 151,494/x
  3. Step 3: Cross multiply
    69,915x = 151,494 × 151,494
  4. Step 4: Simplify right side
    69,915x = 22,950,432,036
  5. Step 5: Solve for x
    x = 22,950,432,036/69,915
  6. Step 6: Final answer
    x = 328,261.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.