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Finding the Third Proportional to 179,486 and 391,570

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Solution

The third proportional to 179,486 and 391,570 is: 854,256.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,486 : 391,570 = 391,570 : x
  2. Step 2: Convert to fraction form
    179,486/391,570 = 391,570/x
  3. Step 3: Cross multiply
    179,486x = 391,570 × 391,570
  4. Step 4: Simplify right side
    179,486x = 153,327,064,900
  5. Step 5: Solve for x
    x = 153,327,064,900/179,486
  6. Step 6: Final answer
    x = 854,256.40

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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.