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Finding the Third Proportional to 535,268 and 807,438

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Solution

The third proportional to 535,268 and 807,438 is: 1,217,999.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,268 : 807,438 = 807,438 : x
  2. Step 2: Convert to fraction form
    535,268/807,438 = 807,438/x
  3. Step 3: Cross multiply
    535,268x = 807,438 × 807,438
  4. Step 4: Simplify right side
    535,268x = 651,956,123,844
  5. Step 5: Solve for x
    x = 651,956,123,844/535,268
  6. Step 6: Final answer
    x = 1,217,999.44

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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.