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Finding the Third Proportional to 266,776.03 and 311,062.78

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Solution

The third proportional to 266,776.03 and 311,062.78 is: 362,701.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,776.03 : 311,062.78 = 311,062.78 : x
  2. Step 2: Convert to fraction form
    266,776.03/311,062.78 = 311,062.78/x
  3. Step 3: Cross multiply
    266,776.03x = 311,062.78 × 311,062.78
  4. Step 4: Simplify right side
    266,776.03x = 96,760,053,878.99
  5. Step 5: Solve for x
    x = 96,760,053,878.99/266,776.03
  6. Step 6: Final answer
    x = 362,701.45

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.