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Finding the Third Proportional to 200.77 and 437.93

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Solution

The third proportional to 200.77 and 437.93 is: 955.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.77 : 437.93 = 437.93 : x
  2. Step 2: Convert to fraction form
    200.77/437.93 = 437.93/x
  3. Step 3: Cross multiply
    200.77x = 437.93 × 437.93
  4. Step 4: Simplify right side
    200.77x = 191,782.41
  5. Step 5: Solve for x
    x = 191,782.41/200.77
  6. Step 6: Final answer
    x = 955.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.