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Finding the Third Proportional to 283,219 and 615,743

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Solution

The third proportional to 283,219 and 615,743 is: 1,338,679.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,219 : 615,743 = 615,743 : x
  2. Step 2: Convert to fraction form
    283,219/615,743 = 615,743/x
  3. Step 3: Cross multiply
    283,219x = 615,743 × 615,743
  4. Step 4: Simplify right side
    283,219x = 379,139,442,049
  5. Step 5: Solve for x
    x = 379,139,442,049/283,219
  6. Step 6: Final answer
    x = 1,338,679.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.