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Finding the Third Proportional to 211.22 and 432.98

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Solution

The third proportional to 211.22 and 432.98 is: 887.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.22 : 432.98 = 432.98 : x
  2. Step 2: Convert to fraction form
    211.22/432.98 = 432.98/x
  3. Step 3: Cross multiply
    211.22x = 432.98 × 432.98
  4. Step 4: Simplify right side
    211.22x = 187,475.47
  5. Step 5: Solve for x
    x = 187,475.47/211.22
  6. Step 6: Final answer
    x = 887.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.