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Finding the Third Proportional to 21,023.30 and 31,119.19

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Solution

The third proportional to 21,023.30 and 31,119.19 is: 46,063.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,023.30 : 31,119.19 = 31,119.19 : x
  2. Step 2: Convert to fraction form
    21,023.30/31,119.19 = 31,119.19/x
  3. Step 3: Cross multiply
    21,023.30x = 31,119.19 × 31,119.19
  4. Step 4: Simplify right side
    21,023.30x = 968,403,830.66
  5. Step 5: Solve for x
    x = 968,403,830.66/21,023.30
  6. Step 6: Final answer
    x = 46,063.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.