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Finding the Third Proportional to 53,042 and 120,953

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Solution

The third proportional to 53,042 and 120,953 is: 275,812.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,042 : 120,953 = 120,953 : x
  2. Step 2: Convert to fraction form
    53,042/120,953 = 120,953/x
  3. Step 3: Cross multiply
    53,042x = 120,953 × 120,953
  4. Step 4: Simplify right side
    53,042x = 14,629,628,209
  5. Step 5: Solve for x
    x = 14,629,628,209/53,042
  6. Step 6: Final answer
    x = 275,812.15

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.