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Finding the Third Proportional to 281,445 and 612,456

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Solution

The third proportional to 281,445 and 612,456 is: 1,332,773.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,445 : 612,456 = 612,456 : x
  2. Step 2: Convert to fraction form
    281,445/612,456 = 612,456/x
  3. Step 3: Cross multiply
    281,445x = 612,456 × 612,456
  4. Step 4: Simplify right side
    281,445x = 375,102,351,936
  5. Step 5: Solve for x
    x = 375,102,351,936/281,445
  6. Step 6: Final answer
    x = 1,332,773.20

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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.