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Finding the Third Proportional to 311,372.70 and 465,438.02

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Solution

The third proportional to 311,372.70 and 465,438.02 is: 695,733.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,372.70 : 465,438.02 = 465,438.02 : x
  2. Step 2: Convert to fraction form
    311,372.70/465,438.02 = 465,438.02/x
  3. Step 3: Cross multiply
    311,372.70x = 465,438.02 × 465,438.02
  4. Step 4: Simplify right side
    311,372.70x = 216,632,553,661.41
  5. Step 5: Solve for x
    x = 216,632,553,661.41/311,372.70
  6. Step 6: Final answer
    x = 695,733.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.