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Finding the Third Proportional to 239,288 and 503,364

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Solution

The third proportional to 239,288 and 503,364 is: 1,058,871.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,288 : 503,364 = 503,364 : x
  2. Step 2: Convert to fraction form
    239,288/503,364 = 503,364/x
  3. Step 3: Cross multiply
    239,288x = 503,364 × 503,364
  4. Step 4: Simplify right side
    239,288x = 253,375,316,496
  5. Step 5: Solve for x
    x = 253,375,316,496/239,288
  6. Step 6: Final answer
    x = 1,058,871.81

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.