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Finding the Third Proportional to 277,497.75 and 415,129.50

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Solution

The third proportional to 277,497.75 and 415,129.50 is: 621,023.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,497.75 : 415,129.50 = 415,129.50 : x
  2. Step 2: Convert to fraction form
    277,497.75/415,129.50 = 415,129.50/x
  3. Step 3: Cross multiply
    277,497.75x = 415,129.50 × 415,129.50
  4. Step 4: Simplify right side
    277,497.75x = 172,332,501,770.25
  5. Step 5: Solve for x
    x = 172,332,501,770.25/277,497.75
  6. Step 6: Final answer
    x = 621,023.06

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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.