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Finding the Third Proportional to 277.31 and 431.02

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Solution

The third proportional to 277.31 and 431.02 is: 669.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.31 : 431.02 = 431.02 : x
  2. Step 2: Convert to fraction form
    277.31/431.02 = 431.02/x
  3. Step 3: Cross multiply
    277.31x = 431.02 × 431.02
  4. Step 4: Simplify right side
    277.31x = 185,774.47
  5. Step 5: Solve for x
    x = 185,774.47/277.31
  6. Step 6: Final answer
    x = 669.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.