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Finding the Third Proportional to 21,102.63 and 45,029.81

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Solution

The third proportional to 21,102.63 and 45,029.81 is: 96,086.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,102.63 : 45,029.81 = 45,029.81 : x
  2. Step 2: Convert to fraction form
    21,102.63/45,029.81 = 45,029.81/x
  3. Step 3: Cross multiply
    21,102.63x = 45,029.81 × 45,029.81
  4. Step 4: Simplify right side
    21,102.63x = 2,027,684,013.79
  5. Step 5: Solve for x
    x = 2,027,684,013.79/21,102.63
  6. Step 6: Final answer
    x = 96,086.81

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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.