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Finding the Third Proportional to 311,316.75 and 455,872.50

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Solution

The third proportional to 311,316.75 and 455,872.50 is: 667,550.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,316.75 : 455,872.50 = 455,872.50 : x
  2. Step 2: Convert to fraction form
    311,316.75/455,872.50 = 455,872.50/x
  3. Step 3: Cross multiply
    311,316.75x = 455,872.50 × 455,872.50
  4. Step 4: Simplify right side
    311,316.75x = 207,819,736,256.25
  5. Step 5: Solve for x
    x = 207,819,736,256.25/311,316.75
  6. Step 6: Final answer
    x = 667,550.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.