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Finding the Third Proportional to 276,527 and 439,697

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Solution

The third proportional to 276,527 and 439,697 is: 699,148.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,527 : 439,697 = 439,697 : x
  2. Step 2: Convert to fraction form
    276,527/439,697 = 439,697/x
  3. Step 3: Cross multiply
    276,527x = 439,697 × 439,697
  4. Step 4: Simplify right side
    276,527x = 193,333,451,809
  5. Step 5: Solve for x
    x = 193,333,451,809/276,527
  6. Step 6: Final answer
    x = 699,148.55

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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.