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Finding the Third Proportional to 178,270 and 391,535

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Solution

The third proportional to 178,270 and 391,535 is: 859,929.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,270 : 391,535 = 391,535 : x
  2. Step 2: Convert to fraction form
    178,270/391,535 = 391,535/x
  3. Step 3: Cross multiply
    178,270x = 391,535 × 391,535
  4. Step 4: Simplify right side
    178,270x = 153,299,656,225
  5. Step 5: Solve for x
    x = 153,299,656,225/178,270
  6. Step 6: Final answer
    x = 859,929.64

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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.