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Finding the Third Proportional to 56,956.50 and 90,902.25

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Solution

The third proportional to 56,956.50 and 90,902.25 is: 145,079.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,956.50 : 90,902.25 = 90,902.25 : x
  2. Step 2: Convert to fraction form
    56,956.50/90,902.25 = 90,902.25/x
  3. Step 3: Cross multiply
    56,956.50x = 90,902.25 × 90,902.25
  4. Step 4: Simplify right side
    56,956.50x = 8,263,219,055.06
  5. Step 5: Solve for x
    x = 8,263,219,055.06/56,956.50
  6. Step 6: Final answer
    x = 145,079.47

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.