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Finding the Third Proportional to 176,339 and 391,918

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Solution

The third proportional to 176,339 and 391,918 is: 871,047.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,339 : 391,918 = 391,918 : x
  2. Step 2: Convert to fraction form
    176,339/391,918 = 391,918/x
  3. Step 3: Cross multiply
    176,339x = 391,918 × 391,918
  4. Step 4: Simplify right side
    176,339x = 153,599,718,724
  5. Step 5: Solve for x
    x = 153,599,718,724/176,339
  6. Step 6: Final answer
    x = 871,047.92

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.