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Finding the Third Proportional to 402,814 and 615,885

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Solution

The third proportional to 402,814 and 615,885 is: 941,661.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,814 : 615,885 = 615,885 : x
  2. Step 2: Convert to fraction form
    402,814/615,885 = 615,885/x
  3. Step 3: Cross multiply
    402,814x = 615,885 × 615,885
  4. Step 4: Simplify right side
    402,814x = 379,314,333,225
  5. Step 5: Solve for x
    x = 379,314,333,225/402,814
  6. Step 6: Final answer
    x = 941,661.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.