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Finding the Third Proportional to 31.08 and 45.70

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Solution

The third proportional to 31.08 and 45.70 is: 67.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.08 : 45.70 = 45.70 : x
  2. Step 2: Convert to fraction form
    31.08/45.70 = 45.70/x
  3. Step 3: Cross multiply
    31.08x = 45.70 × 45.70
  4. Step 4: Simplify right side
    31.08x = 2,088.78
  5. Step 5: Solve for x
    x = 2,088.78/31.08
  6. Step 6: Final answer
    x = 67.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.