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Finding the Third Proportional to 503,909 and 1,096,384

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Solution

The third proportional to 503,909 and 1,096,384 is: 2,385,466.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,909 : 1,096,384 = 1,096,384 : x
  2. Step 2: Convert to fraction form
    503,909/1,096,384 = 1,096,384/x
  3. Step 3: Cross multiply
    503,909x = 1,096,384 × 1,096,384
  4. Step 4: Simplify right side
    503,909x = 1,202,057,875,456
  5. Step 5: Solve for x
    x = 1,202,057,875,456/503,909
  6. Step 6: Final answer
    x = 2,385,466.18

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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.