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Finding the Third Proportional to 46.10 and 70.78

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Solution

The third proportional to 46.10 and 70.78 is: 108.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.10 : 70.78 = 70.78 : x
  2. Step 2: Convert to fraction form
    46.10/70.78 = 70.78/x
  3. Step 3: Cross multiply
    46.10x = 70.78 × 70.78
  4. Step 4: Simplify right side
    46.10x = 5,009.99
  5. Step 5: Solve for x
    x = 5,009.99/46.10
  6. Step 6: Final answer
    x = 108.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.