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Finding the Third Proportional to 178,560 and 391,104

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Solution

The third proportional to 178,560 and 391,104 is: 856,643.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,560 : 391,104 = 391,104 : x
  2. Step 2: Convert to fraction form
    178,560/391,104 = 391,104/x
  3. Step 3: Cross multiply
    178,560x = 391,104 × 391,104
  4. Step 4: Simplify right side
    178,560x = 152,962,338,816
  5. Step 5: Solve for x
    x = 152,962,338,816/178,560
  6. Step 6: Final answer
    x = 856,643.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.