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Finding the Third Proportional to 78,328 and 165,585

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Solution

The third proportional to 78,328 and 165,585 is: 350,045.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,328 : 165,585 = 165,585 : x
  2. Step 2: Convert to fraction form
    78,328/165,585 = 165,585/x
  3. Step 3: Cross multiply
    78,328x = 165,585 × 165,585
  4. Step 4: Simplify right side
    78,328x = 27,418,392,225
  5. Step 5: Solve for x
    x = 27,418,392,225/78,328
  6. Step 6: Final answer
    x = 350,045.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.