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Finding the Third Proportional to 67,447 and 147,743

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Solution

The third proportional to 67,447 and 147,743 is: 323,631.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,447 : 147,743 = 147,743 : x
  2. Step 2: Convert to fraction form
    67,447/147,743 = 147,743/x
  3. Step 3: Cross multiply
    67,447x = 147,743 × 147,743
  4. Step 4: Simplify right side
    67,447x = 21,827,994,049
  5. Step 5: Solve for x
    x = 21,827,994,049/67,447
  6. Step 6: Final answer
    x = 323,631.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.