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Finding the Third Proportional to 71,534.81 and 154,141.31

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Solution

The third proportional to 71,534.81 and 154,141.31 is: 332,139.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,534.81 : 154,141.31 = 154,141.31 : x
  2. Step 2: Convert to fraction form
    71,534.81/154,141.31 = 154,141.31/x
  3. Step 3: Cross multiply
    71,534.81x = 154,141.31 × 154,141.31
  4. Step 4: Simplify right side
    71,534.81x = 23,759,544,219.22
  5. Step 5: Solve for x
    x = 23,759,544,219.22/71,534.81
  6. Step 6: Final answer
    x = 332,139.60

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.