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Finding the Third Proportional to 755,309 and 1,643,427

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Solution

The third proportional to 755,309 and 1,643,427 is: 3,575,824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,309 : 1,643,427 = 1,643,427 : x
  2. Step 2: Convert to fraction form
    755,309/1,643,427 = 1,643,427/x
  3. Step 3: Cross multiply
    755,309x = 1,643,427 × 1,643,427
  4. Step 4: Simplify right side
    755,309x = 2,700,852,304,329
  5. Step 5: Solve for x
    x = 2,700,852,304,329/755,309
  6. Step 6: Final answer
    x = 3,575,824.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.