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Finding the Third Proportional to 56,313 and 120,645

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Solution

The third proportional to 56,313 and 120,645 is: 258,469.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,313 : 120,645 = 120,645 : x
  2. Step 2: Convert to fraction form
    56,313/120,645 = 120,645/x
  3. Step 3: Cross multiply
    56,313x = 120,645 × 120,645
  4. Step 4: Simplify right side
    56,313x = 14,555,216,025
  5. Step 5: Solve for x
    x = 14,555,216,025/56,313
  6. Step 6: Final answer
    x = 258,469.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.