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Finding the Third Proportional to 269,426 and 392,293

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Solution

The third proportional to 269,426 and 392,293 is: 571,191.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,426 : 392,293 = 392,293 : x
  2. Step 2: Convert to fraction form
    269,426/392,293 = 392,293/x
  3. Step 3: Cross multiply
    269,426x = 392,293 × 392,293
  4. Step 4: Simplify right side
    269,426x = 153,893,797,849
  5. Step 5: Solve for x
    x = 153,893,797,849/269,426
  6. Step 6: Final answer
    x = 571,191.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.