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Finding the Third Proportional to 118,850 and 252,964

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Solution

The third proportional to 118,850 and 252,964 is: 538,416.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,850 : 252,964 = 252,964 : x
  2. Step 2: Convert to fraction form
    118,850/252,964 = 252,964/x
  3. Step 3: Cross multiply
    118,850x = 252,964 × 252,964
  4. Step 4: Simplify right side
    118,850x = 63,990,785,296
  5. Step 5: Solve for x
    x = 63,990,785,296/118,850
  6. Step 6: Final answer
    x = 538,416.37

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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.