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Finding the Third Proportional to 438,166 and 705,441

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Solution

The third proportional to 438,166 and 705,441 is: 1,135,749.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,166 : 705,441 = 705,441 : x
  2. Step 2: Convert to fraction form
    438,166/705,441 = 705,441/x
  3. Step 3: Cross multiply
    438,166x = 705,441 × 705,441
  4. Step 4: Simplify right side
    438,166x = 497,647,004,481
  5. Step 5: Solve for x
    x = 497,647,004,481/438,166
  6. Step 6: Final answer
    x = 1,135,749.93

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.