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Finding the Third Proportional to 78,334.50 and 160,817

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Solution

The third proportional to 78,334.50 and 160,817 is: 330,149.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,334.50 : 160,817 = 160,817 : x
  2. Step 2: Convert to fraction form
    78,334.50/160,817 = 160,817/x
  3. Step 3: Cross multiply
    78,334.50x = 160,817 × 160,817
  4. Step 4: Simplify right side
    78,334.50x = 25,862,107,489
  5. Step 5: Solve for x
    x = 25,862,107,489/78,334.50
  6. Step 6: Final answer
    x = 330,149.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.