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Finding the Third Proportional to 276,579 and 611,397

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Solution

The third proportional to 276,579 and 611,397 is: 1,351,535.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,579 : 611,397 = 611,397 : x
  2. Step 2: Convert to fraction form
    276,579/611,397 = 611,397/x
  3. Step 3: Cross multiply
    276,579x = 611,397 × 611,397
  4. Step 4: Simplify right side
    276,579x = 373,806,291,609
  5. Step 5: Solve for x
    x = 373,806,291,609/276,579
  6. Step 6: Final answer
    x = 1,351,535.34

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.