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Finding the Third Proportional to 538,132 and 811,294

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Solution

The third proportional to 538,132 and 811,294 is: 1,223,116.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,132 : 811,294 = 811,294 : x
  2. Step 2: Convert to fraction form
    538,132/811,294 = 811,294/x
  3. Step 3: Cross multiply
    538,132x = 811,294 × 811,294
  4. Step 4: Simplify right side
    538,132x = 658,197,954,436
  5. Step 5: Solve for x
    x = 658,197,954,436/538,132
  6. Step 6: Final answer
    x = 1,223,116.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.