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Finding the Third Proportional to 406,800 and 615,456

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Solution

The third proportional to 406,800 and 615,456 is: 931,135.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,800 : 615,456 = 615,456 : x
  2. Step 2: Convert to fraction form
    406,800/615,456 = 615,456/x
  3. Step 3: Cross multiply
    406,800x = 615,456 × 615,456
  4. Step 4: Simplify right side
    406,800x = 378,786,087,936
  5. Step 5: Solve for x
    x = 378,786,087,936/406,800
  6. Step 6: Final answer
    x = 931,135.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.