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Finding the Third Proportional to 774,781 and 1,643,351

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Solution

The third proportional to 774,781 and 1,643,351 is: 3,485,633.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,781 : 1,643,351 = 1,643,351 : x
  2. Step 2: Convert to fraction form
    774,781/1,643,351 = 1,643,351/x
  3. Step 3: Cross multiply
    774,781x = 1,643,351 × 1,643,351
  4. Step 4: Simplify right side
    774,781x = 2,700,602,509,201
  5. Step 5: Solve for x
    x = 2,700,602,509,201/774,781
  6. Step 6: Final answer
    x = 3,485,633.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.