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Finding the Third Proportional to 78,806 and 118,289

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Solution

The third proportional to 78,806 and 118,289 is: 177,553.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,806 : 118,289 = 118,289 : x
  2. Step 2: Convert to fraction form
    78,806/118,289 = 118,289/x
  3. Step 3: Cross multiply
    78,806x = 118,289 × 118,289
  4. Step 4: Simplify right side
    78,806x = 13,992,287,521
  5. Step 5: Solve for x
    x = 13,992,287,521/78,806
  6. Step 6: Final answer
    x = 177,553.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.