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Finding the Third Proportional to 538,085 and 808,403

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Solution

The third proportional to 538,085 and 808,403 is: 1,214,520.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,085 : 808,403 = 808,403 : x
  2. Step 2: Convert to fraction form
    538,085/808,403 = 808,403/x
  3. Step 3: Cross multiply
    538,085x = 808,403 × 808,403
  4. Step 4: Simplify right side
    538,085x = 653,515,410,409
  5. Step 5: Solve for x
    x = 653,515,410,409/538,085
  6. Step 6: Final answer
    x = 1,214,520.77

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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.