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Finding the Third Proportional to 21,352 and 31,929

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Solution

The third proportional to 21,352 and 31,929 is: 47,745.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,352 : 31,929 = 31,929 : x
  2. Step 2: Convert to fraction form
    21,352/31,929 = 31,929/x
  3. Step 3: Cross multiply
    21,352x = 31,929 × 31,929
  4. Step 4: Simplify right side
    21,352x = 1,019,461,041
  5. Step 5: Solve for x
    x = 1,019,461,041/21,352
  6. Step 6: Final answer
    x = 47,745.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.