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Finding the Third Proportional to 178,000 and 391,046

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Solution

The third proportional to 178,000 and 391,046 is: 859,084.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,000 : 391,046 = 391,046 : x
  2. Step 2: Convert to fraction form
    178,000/391,046 = 391,046/x
  3. Step 3: Cross multiply
    178,000x = 391,046 × 391,046
  4. Step 4: Simplify right side
    178,000x = 152,916,974,116
  5. Step 5: Solve for x
    x = 152,916,974,116/178,000
  6. Step 6: Final answer
    x = 859,084.12

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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.