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Finding the Third Proportional to 276,306 and 415,484

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Solution

The third proportional to 276,306 and 415,484 is: 624,767.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,306 : 415,484 = 415,484 : x
  2. Step 2: Convert to fraction form
    276,306/415,484 = 415,484/x
  3. Step 3: Cross multiply
    276,306x = 415,484 × 415,484
  4. Step 4: Simplify right side
    276,306x = 172,626,954,256
  5. Step 5: Solve for x
    x = 172,626,954,256/276,306
  6. Step 6: Final answer
    x = 624,767.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.