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Finding the Third Proportional to 276,835 and 427,521

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Solution

The third proportional to 276,835 and 427,521 is: 660,227.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,835 : 427,521 = 427,521 : x
  2. Step 2: Convert to fraction form
    276,835/427,521 = 427,521/x
  3. Step 3: Cross multiply
    276,835x = 427,521 × 427,521
  4. Step 4: Simplify right side
    276,835x = 182,774,205,441
  5. Step 5: Solve for x
    x = 182,774,205,441/276,835
  6. Step 6: Final answer
    x = 660,227.95

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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.