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Finding the Third Proportional to 53,451 and 112,909

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Solution

The third proportional to 53,451 and 112,909 is: 238,507.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,451 : 112,909 = 112,909 : x
  2. Step 2: Convert to fraction form
    53,451/112,909 = 112,909/x
  3. Step 3: Cross multiply
    53,451x = 112,909 × 112,909
  4. Step 4: Simplify right side
    53,451x = 12,748,442,281
  5. Step 5: Solve for x
    x = 12,748,442,281/53,451
  6. Step 6: Final answer
    x = 238,507.09

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.