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Finding the Third Proportional to 245,956 and 391,494

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Solution

The third proportional to 245,956 and 391,494 is: 623,150.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,956 : 391,494 = 391,494 : x
  2. Step 2: Convert to fraction form
    245,956/391,494 = 391,494/x
  3. Step 3: Cross multiply
    245,956x = 391,494 × 391,494
  4. Step 4: Simplify right side
    245,956x = 153,267,552,036
  5. Step 5: Solve for x
    x = 153,267,552,036/245,956
  6. Step 6: Final answer
    x = 623,150.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.