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Finding the Third Proportional to 68,107.50 and 74,395.13

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Solution

The third proportional to 68,107.50 and 74,395.13 is: 81,263.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,107.50 : 74,395.13 = 74,395.13 : x
  2. Step 2: Convert to fraction form
    68,107.50/74,395.13 = 74,395.13/x
  3. Step 3: Cross multiply
    68,107.50x = 74,395.13 × 74,395.13
  4. Step 4: Simplify right side
    68,107.50x = 5,534,634,623.77
  5. Step 5: Solve for x
    x = 5,534,634,623.77/68,107.50
  6. Step 6: Final answer
    x = 81,263.22

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.