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Finding the Third Proportional to 521,804 and 807,357

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Solution

The third proportional to 521,804 and 807,357 is: 1,249,176.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,804 : 807,357 = 807,357 : x
  2. Step 2: Convert to fraction form
    521,804/807,357 = 807,357/x
  3. Step 3: Cross multiply
    521,804x = 807,357 × 807,357
  4. Step 4: Simplify right side
    521,804x = 651,825,325,449
  5. Step 5: Solve for x
    x = 651,825,325,449/521,804
  6. Step 6: Final answer
    x = 1,249,176.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.