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Finding the Third Proportional to 552,422 and 811,137

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Solution

The third proportional to 552,422 and 811,137 is: 1,191,015.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,422 : 811,137 = 811,137 : x
  2. Step 2: Convert to fraction form
    552,422/811,137 = 811,137/x
  3. Step 3: Cross multiply
    552,422x = 811,137 × 811,137
  4. Step 4: Simplify right side
    552,422x = 657,943,232,769
  5. Step 5: Solve for x
    x = 657,943,232,769/552,422
  6. Step 6: Final answer
    x = 1,191,015.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.