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Finding the Third Proportional to 266,074 and 292,318

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Solution

The third proportional to 266,074 and 292,318 is: 321,150.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,074 : 292,318 = 292,318 : x
  2. Step 2: Convert to fraction form
    266,074/292,318 = 292,318/x
  3. Step 3: Cross multiply
    266,074x = 292,318 × 292,318
  4. Step 4: Simplify right side
    266,074x = 85,449,813,124
  5. Step 5: Solve for x
    x = 85,449,813,124/266,074
  6. Step 6: Final answer
    x = 321,150.56

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.