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Finding the Third Proportional to 21,070 and 28,275

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Solution

The third proportional to 21,070 and 28,275 is: 37,943.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,070 : 28,275 = 28,275 : x
  2. Step 2: Convert to fraction form
    21,070/28,275 = 28,275/x
  3. Step 3: Cross multiply
    21,070x = 28,275 × 28,275
  4. Step 4: Simplify right side
    21,070x = 799,475,625
  5. Step 5: Solve for x
    x = 799,475,625/21,070
  6. Step 6: Final answer
    x = 37,943.79

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.