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Finding the Third Proportional to 56,343 and 120,684

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Solution

The third proportional to 56,343 and 120,684 is: 258,499.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,343 : 120,684 = 120,684 : x
  2. Step 2: Convert to fraction form
    56,343/120,684 = 120,684/x
  3. Step 3: Cross multiply
    56,343x = 120,684 × 120,684
  4. Step 4: Simplify right side
    56,343x = 14,564,627,856
  5. Step 5: Solve for x
    x = 14,564,627,856/56,343
  6. Step 6: Final answer
    x = 258,499.33

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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.