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Finding the Third Proportional to 67,984 and 145,809

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Solution

The third proportional to 67,984 and 145,809 is: 312,724.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,984 : 145,809 = 145,809 : x
  2. Step 2: Convert to fraction form
    67,984/145,809 = 145,809/x
  3. Step 3: Cross multiply
    67,984x = 145,809 × 145,809
  4. Step 4: Simplify right side
    67,984x = 21,260,264,481
  5. Step 5: Solve for x
    x = 21,260,264,481/67,984
  6. Step 6: Final answer
    x = 312,724.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.