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Finding the Third Proportional to 67,072 and 99,447

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Solution

The third proportional to 67,072 and 99,447 is: 147,449.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,072 : 99,447 = 99,447 : x
  2. Step 2: Convert to fraction form
    67,072/99,447 = 99,447/x
  3. Step 3: Cross multiply
    67,072x = 99,447 × 99,447
  4. Step 4: Simplify right side
    67,072x = 9,889,705,809
  5. Step 5: Solve for x
    x = 9,889,705,809/67,072
  6. Step 6: Final answer
    x = 147,449.10

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.