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Finding the Third Proportional to 321,160 and 490,120

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Solution

The third proportional to 321,160 and 490,120 is: 747,968.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,160 : 490,120 = 490,120 : x
  2. Step 2: Convert to fraction form
    321,160/490,120 = 490,120/x
  3. Step 3: Cross multiply
    321,160x = 490,120 × 490,120
  4. Step 4: Simplify right side
    321,160x = 240,217,614,400
  5. Step 5: Solve for x
    x = 240,217,614,400/321,160
  6. Step 6: Final answer
    x = 747,968.66

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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.