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Finding the Third Proportional to 31,077 and 66,508

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Solution

The third proportional to 31,077 and 66,508 is: 142,334.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,077 : 66,508 = 66,508 : x
  2. Step 2: Convert to fraction form
    31,077/66,508 = 66,508/x
  3. Step 3: Cross multiply
    31,077x = 66,508 × 66,508
  4. Step 4: Simplify right side
    31,077x = 4,423,314,064
  5. Step 5: Solve for x
    x = 4,423,314,064/31,077
  6. Step 6: Final answer
    x = 142,334.01

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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.