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Finding the Third Proportional to 31,706 and 66,948

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Solution

The third proportional to 31,706 and 66,948 is: 141,362.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,706 : 66,948 = 66,948 : x
  2. Step 2: Convert to fraction form
    31,706/66,948 = 66,948/x
  3. Step 3: Cross multiply
    31,706x = 66,948 × 66,948
  4. Step 4: Simplify right side
    31,706x = 4,482,034,704
  5. Step 5: Solve for x
    x = 4,482,034,704/31,706
  6. Step 6: Final answer
    x = 141,362.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.