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Finding the Third Proportional to 21,039.75 and 28,347.75

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Solution

The third proportional to 21,039.75 and 28,347.75 is: 38,194.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,039.75 : 28,347.75 = 28,347.75 : x
  2. Step 2: Convert to fraction form
    21,039.75/28,347.75 = 28,347.75/x
  3. Step 3: Cross multiply
    21,039.75x = 28,347.75 × 28,347.75
  4. Step 4: Simplify right side
    21,039.75x = 803,594,930.06
  5. Step 5: Solve for x
    x = 803,594,930.06/21,039.75
  6. Step 6: Final answer
    x = 38,194.13

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.