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Finding the Third Proportional to 479,912 and 745,020

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Solution

The third proportional to 479,912 and 745,020 is: 1,156,576.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,912 : 745,020 = 745,020 : x
  2. Step 2: Convert to fraction form
    479,912/745,020 = 745,020/x
  3. Step 3: Cross multiply
    479,912x = 745,020 × 745,020
  4. Step 4: Simplify right side
    479,912x = 555,054,800,400
  5. Step 5: Solve for x
    x = 555,054,800,400/479,912
  6. Step 6: Final answer
    x = 1,156,576.21

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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.