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Finding the Third Proportional to 312,176 and 663,226

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Solution

The third proportional to 312,176 and 663,226 is: 1,409,040.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,176 : 663,226 = 663,226 : x
  2. Step 2: Convert to fraction form
    312,176/663,226 = 663,226/x
  3. Step 3: Cross multiply
    312,176x = 663,226 × 663,226
  4. Step 4: Simplify right side
    312,176x = 439,868,727,076
  5. Step 5: Solve for x
    x = 439,868,727,076/312,176
  6. Step 6: Final answer
    x = 1,409,040.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.