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Finding the Third Proportional to 45,447 and 75,479

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Solution

The third proportional to 45,447 and 75,479 is: 125,356.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,447 : 75,479 = 75,479 : x
  2. Step 2: Convert to fraction form
    45,447/75,479 = 75,479/x
  3. Step 3: Cross multiply
    45,447x = 75,479 × 75,479
  4. Step 4: Simplify right side
    45,447x = 5,697,079,441
  5. Step 5: Solve for x
    x = 5,697,079,441/45,447
  6. Step 6: Final answer
    x = 125,356.56

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.