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Finding the Third Proportional to 31.56 and 45.06

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Solution

The third proportional to 31.56 and 45.06 is: 64.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.56 : 45.06 = 45.06 : x
  2. Step 2: Convert to fraction form
    31.56/45.06 = 45.06/x
  3. Step 3: Cross multiply
    31.56x = 45.06 × 45.06
  4. Step 4: Simplify right side
    31.56x = 2,030.63
  5. Step 5: Solve for x
    x = 2,030.63/31.56
  6. Step 6: Final answer
    x = 64.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.