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Finding the Third Proportional to 311,488.03 and 409,003.17

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Solution

The third proportional to 311,488.03 and 409,003.17 is: 537,046.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,488.03 : 409,003.17 = 409,003.17 : x
  2. Step 2: Convert to fraction form
    311,488.03/409,003.17 = 409,003.17/x
  3. Step 3: Cross multiply
    311,488.03x = 409,003.17 × 409,003.17
  4. Step 4: Simplify right side
    311,488.03x = 167,283,594,603.81
  5. Step 5: Solve for x
    x = 167,283,594,603.81/311,488.03
  6. Step 6: Final answer
    x = 537,046.62

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.