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Finding the Third Proportional to 78,289.50 and 104,870.25

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Solution

The third proportional to 78,289.50 and 104,870.25 is: 140,475.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,289.50 : 104,870.25 = 104,870.25 : x
  2. Step 2: Convert to fraction form
    78,289.50/104,870.25 = 104,870.25/x
  3. Step 3: Cross multiply
    78,289.50x = 104,870.25 × 104,870.25
  4. Step 4: Simplify right side
    78,289.50x = 10,997,769,335.06
  5. Step 5: Solve for x
    x = 10,997,769,335.06/78,289.50
  6. Step 6: Final answer
    x = 140,475.66

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.