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Finding the Third Proportional to 277,694 and 415,347

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Solution

The third proportional to 277,694 and 415,347 is: 621,234.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,694 : 415,347 = 415,347 : x
  2. Step 2: Convert to fraction form
    277,694/415,347 = 415,347/x
  3. Step 3: Cross multiply
    277,694x = 415,347 × 415,347
  4. Step 4: Simplify right side
    277,694x = 172,513,130,409
  5. Step 5: Solve for x
    x = 172,513,130,409/277,694
  6. Step 6: Final answer
    x = 621,234.63

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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.