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Finding the Third Proportional to 31,455.21 and 66,566.81

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Solution

The third proportional to 31,455.21 and 66,566.81 is: 140,871.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,455.21 : 66,566.81 = 66,566.81 : x
  2. Step 2: Convert to fraction form
    31,455.21/66,566.81 = 66,566.81/x
  3. Step 3: Cross multiply
    31,455.21x = 66,566.81 × 66,566.81
  4. Step 4: Simplify right side
    31,455.21x = 4,431,140,526.41
  5. Step 5: Solve for x
    x = 4,431,140,526.41/31,455.21
  6. Step 6: Final answer
    x = 140,871.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.