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Finding the Third Proportional to 479,680 and 741,152

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Solution

The third proportional to 479,680 and 741,152 is: 1,145,151.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,680 : 741,152 = 741,152 : x
  2. Step 2: Convert to fraction form
    479,680/741,152 = 741,152/x
  3. Step 3: Cross multiply
    479,680x = 741,152 × 741,152
  4. Step 4: Simplify right side
    479,680x = 549,306,287,104
  5. Step 5: Solve for x
    x = 549,306,287,104/479,680
  6. Step 6: Final answer
    x = 1,145,151.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.