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Finding the Third Proportional to 180,434 and 391,608

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Solution

The third proportional to 180,434 and 391,608 is: 849,933.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,434 : 391,608 = 391,608 : x
  2. Step 2: Convert to fraction form
    180,434/391,608 = 391,608/x
  3. Step 3: Cross multiply
    180,434x = 391,608 × 391,608
  4. Step 4: Simplify right side
    180,434x = 153,356,825,664
  5. Step 5: Solve for x
    x = 153,356,825,664/180,434
  6. Step 6: Final answer
    x = 849,933.08

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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.