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Finding the Third Proportional to 283,460 and 439,541

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Solution

The third proportional to 283,460 and 439,541 is: 681,564.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,460 : 439,541 = 439,541 : x
  2. Step 2: Convert to fraction form
    283,460/439,541 = 439,541/x
  3. Step 3: Cross multiply
    283,460x = 439,541 × 439,541
  4. Step 4: Simplify right side
    283,460x = 193,196,290,681
  5. Step 5: Solve for x
    x = 193,196,290,681/283,460
  6. Step 6: Final answer
    x = 681,564.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.