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Finding the Third Proportional to 21,108.75 and 45,042.75

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Solution

The third proportional to 21,108.75 and 45,042.75 is: 96,114.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,108.75 : 45,042.75 = 45,042.75 : x
  2. Step 2: Convert to fraction form
    21,108.75/45,042.75 = 45,042.75/x
  3. Step 3: Cross multiply
    21,108.75x = 45,042.75 × 45,042.75
  4. Step 4: Simplify right side
    21,108.75x = 2,028,849,327.56
  5. Step 5: Solve for x
    x = 2,028,849,327.56/21,108.75
  6. Step 6: Final answer
    x = 96,114.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.