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Finding the Third Proportional to 276,569 and 413,089

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Solution

The third proportional to 276,569 and 413,089 is: 616,998.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,569 : 413,089 = 413,089 : x
  2. Step 2: Convert to fraction form
    276,569/413,089 = 413,089/x
  3. Step 3: Cross multiply
    276,569x = 413,089 × 413,089
  4. Step 4: Simplify right side
    276,569x = 170,642,521,921
  5. Step 5: Solve for x
    x = 170,642,521,921/276,569
  6. Step 6: Final answer
    x = 616,998.01

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Why These Related Problems?

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