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Finding the Third Proportional to 78,603 and 111,114.50

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Solution

The third proportional to 78,603 and 111,114.50 is: 157,073.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,603 : 111,114.50 = 111,114.50 : x
  2. Step 2: Convert to fraction form
    78,603/111,114.50 = 111,114.50/x
  3. Step 3: Cross multiply
    78,603x = 111,114.50 × 111,114.50
  4. Step 4: Simplify right side
    78,603x = 12,346,432,110.25
  5. Step 5: Solve for x
    x = 12,346,432,110.25/78,603
  6. Step 6: Final answer
    x = 157,073.29

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.