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Finding the Third Proportional to 409,754 and 615,819

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Solution

The third proportional to 409,754 and 615,819 is: 925,513.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,754 : 615,819 = 615,819 : x
  2. Step 2: Convert to fraction form
    409,754/615,819 = 615,819/x
  3. Step 3: Cross multiply
    409,754x = 615,819 × 615,819
  4. Step 4: Simplify right side
    409,754x = 379,233,040,761
  5. Step 5: Solve for x
    x = 379,233,040,761/409,754
  6. Step 6: Final answer
    x = 925,513.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.