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Finding the Third Proportional to 109.13 and 265.13

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Solution

The third proportional to 109.13 and 265.13 is: 644.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.13 : 265.13 = 265.13 : x
  2. Step 2: Convert to fraction form
    109.13/265.13 = 265.13/x
  3. Step 3: Cross multiply
    109.13x = 265.13 × 265.13
  4. Step 4: Simplify right side
    109.13x = 70,291.27
  5. Step 5: Solve for x
    x = 70,291.27/109.13
  6. Step 6: Final answer
    x = 644.14

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.