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Finding the Third Proportional to 311,899.50 and 474,417

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Solution

The third proportional to 311,899.50 and 474,417 is: 721,615.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,899.50 : 474,417 = 474,417 : x
  2. Step 2: Convert to fraction form
    311,899.50/474,417 = 474,417/x
  3. Step 3: Cross multiply
    311,899.50x = 474,417 × 474,417
  4. Step 4: Simplify right side
    311,899.50x = 225,071,489,889
  5. Step 5: Solve for x
    x = 225,071,489,889/311,899.50
  6. Step 6: Final answer
    x = 721,615.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.