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Finding the Third Proportional to 77,426.06 and 112,768.50

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Solution

The third proportional to 77,426.06 and 112,768.50 is: 164,243.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,426.06 : 112,768.50 = 112,768.50 : x
  2. Step 2: Convert to fraction form
    77,426.06/112,768.50 = 112,768.50/x
  3. Step 3: Cross multiply
    77,426.06x = 112,768.50 × 112,768.50
  4. Step 4: Simplify right side
    77,426.06x = 12,716,734,592.25
  5. Step 5: Solve for x
    x = 12,716,734,592.25/77,426.06
  6. Step 6: Final answer
    x = 164,243.59

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.