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Finding the Third Proportional to 21.40 and 46.15

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Solution

The third proportional to 21.40 and 46.15 is: 99.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.40 : 46.15 = 46.15 : x
  2. Step 2: Convert to fraction form
    21.40/46.15 = 46.15/x
  3. Step 3: Cross multiply
    21.40x = 46.15 × 46.15
  4. Step 4: Simplify right side
    21.40x = 2,129.92
  5. Step 5: Solve for x
    x = 2,129.92/21.40
  6. Step 6: Final answer
    x = 99.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.