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Finding the Third Proportional to 277,456 and 415,423

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Solution

The third proportional to 277,456 and 415,423 is: 621,995.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,456 : 415,423 = 415,423 : x
  2. Step 2: Convert to fraction form
    277,456/415,423 = 415,423/x
  3. Step 3: Cross multiply
    277,456x = 415,423 × 415,423
  4. Step 4: Simplify right side
    277,456x = 172,576,268,929
  5. Step 5: Solve for x
    x = 172,576,268,929/277,456
  6. Step 6: Final answer
    x = 621,995.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.