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Finding the Third Proportional to 67,971 and 147,621

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Solution

The third proportional to 67,971 and 147,621 is: 320,606.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,971 : 147,621 = 147,621 : x
  2. Step 2: Convert to fraction form
    67,971/147,621 = 147,621/x
  3. Step 3: Cross multiply
    67,971x = 147,621 × 147,621
  4. Step 4: Simplify right side
    67,971x = 21,791,959,641
  5. Step 5: Solve for x
    x = 21,791,959,641/67,971
  6. Step 6: Final answer
    x = 320,606.72

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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.