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Finding the Third Proportional to 179,971 and 391,010

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Solution

The third proportional to 179,971 and 391,010 is: 849,519.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,971 : 391,010 = 391,010 : x
  2. Step 2: Convert to fraction form
    179,971/391,010 = 391,010/x
  3. Step 3: Cross multiply
    179,971x = 391,010 × 391,010
  4. Step 4: Simplify right side
    179,971x = 152,888,820,100
  5. Step 5: Solve for x
    x = 152,888,820,100/179,971
  6. Step 6: Final answer
    x = 849,519.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.