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Finding the Third Proportional to 427 and 602.50

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Solution

The third proportional to 427 and 602.50 is: 850.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    427 : 602.50 = 602.50 : x
  2. Step 2: Convert to fraction form
    427/602.50 = 602.50/x
  3. Step 3: Cross multiply
    427x = 602.50 × 602.50
  4. Step 4: Simplify right side
    427x = 363,006.25
  5. Step 5: Solve for x
    x = 363,006.25/427
  6. Step 6: Final answer
    x = 850.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.