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Finding the Third Proportional to 311,308.50 and 456,633.75

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Solution

The third proportional to 311,308.50 and 456,633.75 is: 669,799.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,308.50 : 456,633.75 = 456,633.75 : x
  2. Step 2: Convert to fraction form
    311,308.50/456,633.75 = 456,633.75/x
  3. Step 3: Cross multiply
    311,308.50x = 456,633.75 × 456,633.75
  4. Step 4: Simplify right side
    311,308.50x = 208,514,381,639.06
  5. Step 5: Solve for x
    x = 208,514,381,639.06/311,308.50
  6. Step 6: Final answer
    x = 669,799.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.