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Finding the Third Proportional to 61.83 and 66.05

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Solution

The third proportional to 61.83 and 66.05 is: 70.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.83 : 66.05 = 66.05 : x
  2. Step 2: Convert to fraction form
    61.83/66.05 = 66.05/x
  3. Step 3: Cross multiply
    61.83x = 66.05 × 66.05
  4. Step 4: Simplify right side
    61.83x = 4,362.19
  5. Step 5: Solve for x
    x = 4,362.19/61.83
  6. Step 6: Final answer
    x = 70.55

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.