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Finding the Third Proportional to 78,130.50 and 110,626.50

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Solution

The third proportional to 78,130.50 and 110,626.50 is: 156,638.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,130.50 : 110,626.50 = 110,626.50 : x
  2. Step 2: Convert to fraction form
    78,130.50/110,626.50 = 110,626.50/x
  3. Step 3: Cross multiply
    78,130.50x = 110,626.50 × 110,626.50
  4. Step 4: Simplify right side
    78,130.50x = 12,238,222,502.25
  5. Step 5: Solve for x
    x = 12,238,222,502.25/78,130.50
  6. Step 6: Final answer
    x = 156,638.22

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.