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Finding the Third Proportional to 21,309.75 and 40,326.19

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Solution

The third proportional to 21,309.75 and 40,326.19 is: 76,312.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,309.75 : 40,326.19 = 40,326.19 : x
  2. Step 2: Convert to fraction form
    21,309.75/40,326.19 = 40,326.19/x
  3. Step 3: Cross multiply
    21,309.75x = 40,326.19 × 40,326.19
  4. Step 4: Simplify right side
    21,309.75x = 1,626,201,398.29
  5. Step 5: Solve for x
    x = 1,626,201,398.29/21,309.75
  6. Step 6: Final answer
    x = 76,312.55

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.