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Finding the Third Proportional to 266,788 and 412,806

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Solution

The third proportional to 266,788 and 412,806 is: 638,742.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,788 : 412,806 = 412,806 : x
  2. Step 2: Convert to fraction form
    266,788/412,806 = 412,806/x
  3. Step 3: Cross multiply
    266,788x = 412,806 × 412,806
  4. Step 4: Simplify right side
    266,788x = 170,408,793,636
  5. Step 5: Solve for x
    x = 170,408,793,636/266,788
  6. Step 6: Final answer
    x = 638,742.35

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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.