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Finding the Third Proportional to 178,290 and 391,574

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Solution

The third proportional to 178,290 and 391,574 is: 860,004.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,290 : 391,574 = 391,574 : x
  2. Step 2: Convert to fraction form
    178,290/391,574 = 391,574/x
  3. Step 3: Cross multiply
    178,290x = 391,574 × 391,574
  4. Step 4: Simplify right side
    178,290x = 153,330,197,476
  5. Step 5: Solve for x
    x = 153,330,197,476/178,290
  6. Step 6: Final answer
    x = 860,004.47

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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.