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Finding the Third Proportional to 21,550 and 31,475

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Solution

The third proportional to 21,550 and 31,475 is: 45,971.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,550 : 31,475 = 31,475 : x
  2. Step 2: Convert to fraction form
    21,550/31,475 = 31,475/x
  3. Step 3: Cross multiply
    21,550x = 31,475 × 31,475
  4. Step 4: Simplify right side
    21,550x = 990,675,625
  5. Step 5: Solve for x
    x = 990,675,625/21,550
  6. Step 6: Final answer
    x = 45,971.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.