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Finding the Third Proportional to 431.72 and 649.55

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Solution

The third proportional to 431.72 and 649.55 is: 977.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.72 : 649.55 = 649.55 : x
  2. Step 2: Convert to fraction form
    431.72/649.55 = 649.55/x
  3. Step 3: Cross multiply
    431.72x = 649.55 × 649.55
  4. Step 4: Simplify right side
    431.72x = 421,911.14
  5. Step 5: Solve for x
    x = 421,911.14/431.72
  6. Step 6: Final answer
    x = 977.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.