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Finding the Third Proportional to 31,172.34 and 66,775.22

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Solution

The third proportional to 31,172.34 and 66,775.22 is: 143,041.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,172.34 : 66,775.22 = 66,775.22 : x
  2. Step 2: Convert to fraction form
    31,172.34/66,775.22 = 66,775.22/x
  3. Step 3: Cross multiply
    31,172.34x = 66,775.22 × 66,775.22
  4. Step 4: Simplify right side
    31,172.34x = 4,458,929,839.11
  5. Step 5: Solve for x
    x = 4,458,929,839.11/31,172.34
  6. Step 6: Final answer
    x = 143,041.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.