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Finding the Third Proportional to 406,282 and 940,415

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Solution

The third proportional to 406,282 and 940,415 is: 2,176,764.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,282 : 940,415 = 940,415 : x
  2. Step 2: Convert to fraction form
    406,282/940,415 = 940,415/x
  3. Step 3: Cross multiply
    406,282x = 940,415 × 940,415
  4. Step 4: Simplify right side
    406,282x = 884,380,372,225
  5. Step 5: Solve for x
    x = 884,380,372,225/406,282
  6. Step 6: Final answer
    x = 2,176,764.84

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.