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Finding the Third Proportional to 276,564 and 413,082

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Solution

The third proportional to 276,564 and 413,082 is: 616,988.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,564 : 413,082 = 413,082 : x
  2. Step 2: Convert to fraction form
    276,564/413,082 = 413,082/x
  3. Step 3: Cross multiply
    276,564x = 413,082 × 413,082
  4. Step 4: Simplify right side
    276,564x = 170,636,738,724
  5. Step 5: Solve for x
    x = 170,636,738,724/276,564
  6. Step 6: Final answer
    x = 616,988.25

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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.