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Finding the Third Proportional to 277.17 and 430.95

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Solution

The third proportional to 277.17 and 430.95 is: 670.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.17 : 430.95 = 430.95 : x
  2. Step 2: Convert to fraction form
    277.17/430.95 = 430.95/x
  3. Step 3: Cross multiply
    277.17x = 430.95 × 430.95
  4. Step 4: Simplify right side
    277.17x = 185,713.86
  5. Step 5: Solve for x
    x = 185,713.86/277.17
  6. Step 6: Final answer
    x = 670.03

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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.