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Finding the Third Proportional to 73,464.50 and 109,116.75

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Solution

The third proportional to 73,464.50 and 109,116.75 is: 162,071.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,464.50 : 109,116.75 = 109,116.75 : x
  2. Step 2: Convert to fraction form
    73,464.50/109,116.75 = 109,116.75/x
  3. Step 3: Cross multiply
    73,464.50x = 109,116.75 × 109,116.75
  4. Step 4: Simplify right side
    73,464.50x = 11,906,465,130.56
  5. Step 5: Solve for x
    x = 11,906,465,130.56/73,464.50
  6. Step 6: Final answer
    x = 162,071.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.