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Finding the Third Proportional to 277,494 and 415,110

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Solution

The third proportional to 277,494 and 415,110 is: 620,973.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,494 : 415,110 = 415,110 : x
  2. Step 2: Convert to fraction form
    277,494/415,110 = 415,110/x
  3. Step 3: Cross multiply
    277,494x = 415,110 × 415,110
  4. Step 4: Simplify right side
    277,494x = 172,316,312,100
  5. Step 5: Solve for x
    x = 172,316,312,100/277,494
  6. Step 6: Final answer
    x = 620,973.11

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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.