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Finding the Third Proportional to 21,790.69 and 47,248.31

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Solution

The third proportional to 21,790.69 and 47,248.31 is: 102,447.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,790.69 : 47,248.31 = 47,248.31 : x
  2. Step 2: Convert to fraction form
    21,790.69/47,248.31 = 47,248.31/x
  3. Step 3: Cross multiply
    21,790.69x = 47,248.31 × 47,248.31
  4. Step 4: Simplify right side
    21,790.69x = 2,232,403,034.10
  5. Step 5: Solve for x
    x = 2,232,403,034.10/21,790.69
  6. Step 6: Final answer
    x = 102,447.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.