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Finding the Third Proportional to 84,078 and 140,131.50

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Solution

The third proportional to 84,078 and 140,131.50 is: 233,555.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,078 : 140,131.50 = 140,131.50 : x
  2. Step 2: Convert to fraction form
    84,078/140,131.50 = 140,131.50/x
  3. Step 3: Cross multiply
    84,078x = 140,131.50 × 140,131.50
  4. Step 4: Simplify right side
    84,078x = 19,636,837,292.25
  5. Step 5: Solve for x
    x = 19,636,837,292.25/84,078
  6. Step 6: Final answer
    x = 233,555.00

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.