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Finding the Third Proportional to 644,042 and 847,119

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Solution

The third proportional to 644,042 and 847,119 is: 1,114,229.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,042 : 847,119 = 847,119 : x
  2. Step 2: Convert to fraction form
    644,042/847,119 = 847,119/x
  3. Step 3: Cross multiply
    644,042x = 847,119 × 847,119
  4. Step 4: Simplify right side
    644,042x = 717,610,600,161
  5. Step 5: Solve for x
    x = 717,610,600,161/644,042
  6. Step 6: Final answer
    x = 1,114,229.51

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.