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Finding the Third Proportional to 21,292 and 31,953

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Solution

The third proportional to 21,292 and 31,953 is: 47,952.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,292 : 31,953 = 31,953 : x
  2. Step 2: Convert to fraction form
    21,292/31,953 = 31,953/x
  3. Step 3: Cross multiply
    21,292x = 31,953 × 31,953
  4. Step 4: Simplify right side
    21,292x = 1,020,994,209
  5. Step 5: Solve for x
    x = 1,020,994,209/21,292
  6. Step 6: Final answer
    x = 47,952.01

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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.