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Finding the Third Proportional to 31,964 and 69,202

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Solution

The third proportional to 31,964 and 69,202 is: 149,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,964 : 69,202 = 69,202 : x
  2. Step 2: Convert to fraction form
    31,964/69,202 = 69,202/x
  3. Step 3: Cross multiply
    31,964x = 69,202 × 69,202
  4. Step 4: Simplify right side
    31,964x = 4,788,916,804
  5. Step 5: Solve for x
    x = 4,788,916,804/31,964
  6. Step 6: Final answer
    x = 149,822.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.