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Finding the Third Proportional to 78,337.75 and 160,823

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Solution

The third proportional to 78,337.75 and 160,823 is: 330,160.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,337.75 : 160,823 = 160,823 : x
  2. Step 2: Convert to fraction form
    78,337.75/160,823 = 160,823/x
  3. Step 3: Cross multiply
    78,337.75x = 160,823 × 160,823
  4. Step 4: Simplify right side
    78,337.75x = 25,864,037,329
  5. Step 5: Solve for x
    x = 25,864,037,329/78,337.75
  6. Step 6: Final answer
    x = 330,160.58

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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.