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Finding the Third Proportional to 311,071.50 and 464,458.50

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Solution

The third proportional to 311,071.50 and 464,458.50 is: 693,479.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,071.50 : 464,458.50 = 464,458.50 : x
  2. Step 2: Convert to fraction form
    311,071.50/464,458.50 = 464,458.50/x
  3. Step 3: Cross multiply
    311,071.50x = 464,458.50 × 464,458.50
  4. Step 4: Simplify right side
    311,071.50x = 215,721,698,222.25
  5. Step 5: Solve for x
    x = 215,721,698,222.25/311,071.50
  6. Step 6: Final answer
    x = 693,479.47

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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.