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Finding the Third Proportional to 269,433 and 579,507

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Solution

The third proportional to 269,433 and 579,507 is: 1,246,426.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,433 : 579,507 = 579,507 : x
  2. Step 2: Convert to fraction form
    269,433/579,507 = 579,507/x
  3. Step 3: Cross multiply
    269,433x = 579,507 × 579,507
  4. Step 4: Simplify right side
    269,433x = 335,828,363,049
  5. Step 5: Solve for x
    x = 335,828,363,049/269,433
  6. Step 6: Final answer
    x = 1,246,426.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.