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Finding the Third Proportional to 45,539 and 69,231

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Solution

The third proportional to 45,539 and 69,231 is: 105,248.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,539 : 69,231 = 69,231 : x
  2. Step 2: Convert to fraction form
    45,539/69,231 = 69,231/x
  3. Step 3: Cross multiply
    45,539x = 69,231 × 69,231
  4. Step 4: Simplify right side
    45,539x = 4,792,931,361
  5. Step 5: Solve for x
    x = 4,792,931,361/45,539
  6. Step 6: Final answer
    x = 105,248.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.