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Finding the Third Proportional to 517,197 and 807,228

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Solution

The third proportional to 517,197 and 807,228 is: 1,259,901.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,197 : 807,228 = 807,228 : x
  2. Step 2: Convert to fraction form
    517,197/807,228 = 807,228/x
  3. Step 3: Cross multiply
    517,197x = 807,228 × 807,228
  4. Step 4: Simplify right side
    517,197x = 651,617,043,984
  5. Step 5: Solve for x
    x = 651,617,043,984/517,197
  6. Step 6: Final answer
    x = 1,259,901.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.