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Finding the Third Proportional to 367,056 and 561,555

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Solution

The third proportional to 367,056 and 561,555 is: 859,116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,056 : 561,555 = 561,555 : x
  2. Step 2: Convert to fraction form
    367,056/561,555 = 561,555/x
  3. Step 3: Cross multiply
    367,056x = 561,555 × 561,555
  4. Step 4: Simplify right side
    367,056x = 315,344,018,025
  5. Step 5: Solve for x
    x = 315,344,018,025/367,056
  6. Step 6: Final answer
    x = 859,116.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.