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Finding the Third Proportional to 276,462 and 439,602

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Solution

The third proportional to 276,462 and 439,602 is: 699,010.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,462 : 439,602 = 439,602 : x
  2. Step 2: Convert to fraction form
    276,462/439,602 = 439,602/x
  3. Step 3: Cross multiply
    276,462x = 439,602 × 439,602
  4. Step 4: Simplify right side
    276,462x = 193,249,918,404
  5. Step 5: Solve for x
    x = 193,249,918,404/276,462
  6. Step 6: Final answer
    x = 699,010.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.