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Finding the Third Proportional to 31,209 and 47,211

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Solution

The third proportional to 31,209 and 47,211 is: 71,417.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,209 : 47,211 = 47,211 : x
  2. Step 2: Convert to fraction form
    31,209/47,211 = 47,211/x
  3. Step 3: Cross multiply
    31,209x = 47,211 × 47,211
  4. Step 4: Simplify right side
    31,209x = 2,228,878,521
  5. Step 5: Solve for x
    x = 2,228,878,521/31,209
  6. Step 6: Final answer
    x = 71,417.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.