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Finding the Third Proportional to 57,404 and 121,637

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Solution

The third proportional to 57,404 and 121,637 is: 257,744.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,404 : 121,637 = 121,637 : x
  2. Step 2: Convert to fraction form
    57,404/121,637 = 121,637/x
  3. Step 3: Cross multiply
    57,404x = 121,637 × 121,637
  4. Step 4: Simplify right side
    57,404x = 14,795,559,769
  5. Step 5: Solve for x
    x = 14,795,559,769/57,404
  6. Step 6: Final answer
    x = 257,744.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.