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Finding the Third Proportional to 276,826 and 427,507

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Solution

The third proportional to 276,826 and 427,507 is: 660,206.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,826 : 427,507 = 427,507 : x
  2. Step 2: Convert to fraction form
    276,826/427,507 = 427,507/x
  3. Step 3: Cross multiply
    276,826x = 427,507 × 427,507
  4. Step 4: Simplify right side
    276,826x = 182,762,235,049
  5. Step 5: Solve for x
    x = 182,762,235,049/276,826
  6. Step 6: Final answer
    x = 660,206.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.