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Finding the Third Proportional to 21,126 and 31,625

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Solution

The third proportional to 21,126 and 31,625 is: 47,341.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,126 : 31,625 = 31,625 : x
  2. Step 2: Convert to fraction form
    21,126/31,625 = 31,625/x
  3. Step 3: Cross multiply
    21,126x = 31,625 × 31,625
  4. Step 4: Simplify right side
    21,126x = 1,000,140,625
  5. Step 5: Solve for x
    x = 1,000,140,625/21,126
  6. Step 6: Final answer
    x = 47,341.69

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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.