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Finding the Third Proportional to 266.88 and 389.94

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Solution

The third proportional to 266.88 and 389.94 is: 569.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.88 : 389.94 = 389.94 : x
  2. Step 2: Convert to fraction form
    266.88/389.94 = 389.94/x
  3. Step 3: Cross multiply
    266.88x = 389.94 × 389.94
  4. Step 4: Simplify right side
    266.88x = 152,051.25
  5. Step 5: Solve for x
    x = 152,051.25/266.88
  6. Step 6: Final answer
    x = 569.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.