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Finding the Third Proportional to 276,670.69 and 415,262.81

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Solution

The third proportional to 276,670.69 and 415,262.81 is: 623,279.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,670.69 : 415,262.81 = 415,262.81 : x
  2. Step 2: Convert to fraction form
    276,670.69/415,262.81 = 415,262.81/x
  3. Step 3: Cross multiply
    276,670.69x = 415,262.81 × 415,262.81
  4. Step 4: Simplify right side
    276,670.69x = 172,443,203,445.41
  5. Step 5: Solve for x
    x = 172,443,203,445.41/276,670.69
  6. Step 6: Final answer
    x = 623,279.63

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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.