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Finding the Third Proportional to 31.08 and 46.90

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Solution

The third proportional to 31.08 and 46.90 is: 70.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.08 : 46.90 = 46.90 : x
  2. Step 2: Convert to fraction form
    31.08/46.90 = 46.90/x
  3. Step 3: Cross multiply
    31.08x = 46.90 × 46.90
  4. Step 4: Simplify right side
    31.08x = 2,199.46
  5. Step 5: Solve for x
    x = 2,199.46/31.08
  6. Step 6: Final answer
    x = 70.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.