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Finding the Third Proportional to 276,254 and 415,409

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Solution

The third proportional to 276,254 and 415,409 is: 624,659.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,254 : 415,409 = 415,409 : x
  2. Step 2: Convert to fraction form
    276,254/415,409 = 415,409/x
  3. Step 3: Cross multiply
    276,254x = 415,409 × 415,409
  4. Step 4: Simplify right side
    276,254x = 172,564,637,281
  5. Step 5: Solve for x
    x = 172,564,637,281/276,254
  6. Step 6: Final answer
    x = 624,659.33

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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.