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Finding the Third Proportional to 415.50 and 874.13

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Solution

The third proportional to 415.50 and 874.13 is: 1,838.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.50 : 874.13 = 874.13 : x
  2. Step 2: Convert to fraction form
    415.50/874.13 = 874.13/x
  3. Step 3: Cross multiply
    415.50x = 874.13 × 874.13
  4. Step 4: Simplify right side
    415.50x = 764,094.52
  5. Step 5: Solve for x
    x = 764,094.52/415.50
  6. Step 6: Final answer
    x = 1,838.98

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.