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Finding the Third Proportional to 311,601.75 and 688,596

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Solution

The third proportional to 311,601.75 and 688,596 is: 1,521,700.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,601.75 : 688,596 = 688,596 : x
  2. Step 2: Convert to fraction form
    311,601.75/688,596 = 688,596/x
  3. Step 3: Cross multiply
    311,601.75x = 688,596 × 688,596
  4. Step 4: Simplify right side
    311,601.75x = 474,164,451,216
  5. Step 5: Solve for x
    x = 474,164,451,216/311,601.75
  6. Step 6: Final answer
    x = 1,521,700.22

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.