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Finding the Third Proportional to 276,864.75 and 407,521.13

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Solution

The third proportional to 276,864.75 and 407,521.13 is: 599,836.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,864.75 : 407,521.13 = 407,521.13 : x
  2. Step 2: Convert to fraction form
    276,864.75/407,521.13 = 407,521.13/x
  3. Step 3: Cross multiply
    276,864.75x = 407,521.13 × 407,521.13
  4. Step 4: Simplify right side
    276,864.75x = 166,073,467,321.27
  5. Step 5: Solve for x
    x = 166,073,467,321.27/276,864.75
  6. Step 6: Final answer
    x = 599,836.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.