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Finding the Third Proportional to 68,140.50 and 95,485.50

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Solution

The third proportional to 68,140.50 and 95,485.50 is: 133,804.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,140.50 : 95,485.50 = 95,485.50 : x
  2. Step 2: Convert to fraction form
    68,140.50/95,485.50 = 95,485.50/x
  3. Step 3: Cross multiply
    68,140.50x = 95,485.50 × 95,485.50
  4. Step 4: Simplify right side
    68,140.50x = 9,117,480,710.25
  5. Step 5: Solve for x
    x = 9,117,480,710.25/68,140.50
  6. Step 6: Final answer
    x = 133,804.14

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.