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Finding the Third Proportional to 56,964 and 121,340

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Solution

The third proportional to 56,964 and 121,340 is: 258,468.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,964 : 121,340 = 121,340 : x
  2. Step 2: Convert to fraction form
    56,964/121,340 = 121,340/x
  3. Step 3: Cross multiply
    56,964x = 121,340 × 121,340
  4. Step 4: Simplify right side
    56,964x = 14,723,395,600
  5. Step 5: Solve for x
    x = 14,723,395,600/56,964
  6. Step 6: Final answer
    x = 258,468.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.