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Finding the Third Proportional to 277,488 and 415,476

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Solution

The third proportional to 277,488 and 415,476 is: 622,082.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,488 : 415,476 = 415,476 : x
  2. Step 2: Convert to fraction form
    277,488/415,476 = 415,476/x
  3. Step 3: Cross multiply
    277,488x = 415,476 × 415,476
  4. Step 4: Simplify right side
    277,488x = 172,620,306,576
  5. Step 5: Solve for x
    x = 172,620,306,576/277,488
  6. Step 6: Final answer
    x = 622,082.06

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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.