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Finding the Third Proportional to 269,424 and 392,288

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Solution

The third proportional to 269,424 and 392,288 is: 571,181.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,424 : 392,288 = 392,288 : x
  2. Step 2: Convert to fraction form
    269,424/392,288 = 392,288/x
  3. Step 3: Cross multiply
    269,424x = 392,288 × 392,288
  4. Step 4: Simplify right side
    269,424x = 153,889,874,944
  5. Step 5: Solve for x
    x = 153,889,874,944/269,424
  6. Step 6: Final answer
    x = 571,181.02

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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.