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Finding the Third Proportional to 178,289.75 and 391,569.25

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Solution

The third proportional to 178,289.75 and 391,569.25 is: 859,984.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,289.75 : 391,569.25 = 391,569.25 : x
  2. Step 2: Convert to fraction form
    178,289.75/391,569.25 = 391,569.25/x
  3. Step 3: Cross multiply
    178,289.75x = 391,569.25 × 391,569.25
  4. Step 4: Simplify right side
    178,289.75x = 153,326,477,545.56
  5. Step 5: Solve for x
    x = 153,326,477,545.56/178,289.75
  6. Step 6: Final answer
    x = 859,984.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.