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Finding the Third Proportional to 678,258.56 and 1,049,744.81

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Solution

The third proportional to 678,258.56 and 1,049,744.81 is: 1,624,696.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,258.56 : 1,049,744.81 = 1,049,744.81 : x
  2. Step 2: Convert to fraction form
    678,258.56/1,049,744.81 = 1,049,744.81/x
  3. Step 3: Cross multiply
    678,258.56x = 1,049,744.81 × 1,049,744.81
  4. Step 4: Simplify right side
    678,258.56x = 1,101,964,171,370.66
  5. Step 5: Solve for x
    x = 1,101,964,171,370.66/678,258.56
  6. Step 6: Final answer
    x = 1,624,696.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.