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Finding the Third Proportional to 276,308 and 415,487

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Solution

The third proportional to 276,308 and 415,487 is: 624,771.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,308 : 415,487 = 415,487 : x
  2. Step 2: Convert to fraction form
    276,308/415,487 = 415,487/x
  3. Step 3: Cross multiply
    276,308x = 415,487 × 415,487
  4. Step 4: Simplify right side
    276,308x = 172,629,447,169
  5. Step 5: Solve for x
    x = 172,629,447,169/276,308
  6. Step 6: Final answer
    x = 624,771.80

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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.