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Finding the Third Proportional to 21,462.75 and 28,653.75

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Solution

The third proportional to 21,462.75 and 28,653.75 is: 38,254.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,462.75 : 28,653.75 = 28,653.75 : x
  2. Step 2: Convert to fraction form
    21,462.75/28,653.75 = 28,653.75/x
  3. Step 3: Cross multiply
    21,462.75x = 28,653.75 × 28,653.75
  4. Step 4: Simplify right side
    21,462.75x = 821,037,389.06
  5. Step 5: Solve for x
    x = 821,037,389.06/21,462.75
  6. Step 6: Final answer
    x = 38,254.06

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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.