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Finding the Third Proportional to 179,484 and 391,569

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Solution

The third proportional to 179,484 and 391,569 is: 854,261.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,484 : 391,569 = 391,569 : x
  2. Step 2: Convert to fraction form
    179,484/391,569 = 391,569/x
  3. Step 3: Cross multiply
    179,484x = 391,569 × 391,569
  4. Step 4: Simplify right side
    179,484x = 153,326,281,761
  5. Step 5: Solve for x
    x = 153,326,281,761/179,484
  6. Step 6: Final answer
    x = 854,261.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.