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Finding the Third Proportional to 321,164 and 490,126

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Solution

The third proportional to 321,164 and 490,126 is: 747,977.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,164 : 490,126 = 490,126 : x
  2. Step 2: Convert to fraction form
    321,164/490,126 = 490,126/x
  3. Step 3: Cross multiply
    321,164x = 490,126 × 490,126
  4. Step 4: Simplify right side
    321,164x = 240,223,495,876
  5. Step 5: Solve for x
    x = 240,223,495,876/321,164
  6. Step 6: Final answer
    x = 747,977.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.