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Finding the Third Proportional to 479,910 and 745,017

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Solution

The third proportional to 479,910 and 745,017 is: 1,156,571.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,910 : 745,017 = 745,017 : x
  2. Step 2: Convert to fraction form
    479,910/745,017 = 745,017/x
  3. Step 3: Cross multiply
    479,910x = 745,017 × 745,017
  4. Step 4: Simplify right side
    479,910x = 555,050,330,289
  5. Step 5: Solve for x
    x = 555,050,330,289/479,910
  6. Step 6: Final answer
    x = 1,156,571.71

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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.