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Finding the Third Proportional to 42,628.78 and 66,192.19

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Solution

The third proportional to 42,628.78 and 66,192.19 is: 102,780.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,628.78 : 66,192.19 = 66,192.19 : x
  2. Step 2: Convert to fraction form
    42,628.78/66,192.19 = 66,192.19/x
  3. Step 3: Cross multiply
    42,628.78x = 66,192.19 × 66,192.19
  4. Step 4: Simplify right side
    42,628.78x = 4,381,405,686.04
  5. Step 5: Solve for x
    x = 4,381,405,686.04/42,628.78
  6. Step 6: Final answer
    x = 102,780.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.