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Finding the Third Proportional to 57,433 and 121,684

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Solution

The third proportional to 57,433 and 121,684 is: 257,813.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,433 : 121,684 = 121,684 : x
  2. Step 2: Convert to fraction form
    57,433/121,684 = 121,684/x
  3. Step 3: Cross multiply
    57,433x = 121,684 × 121,684
  4. Step 4: Simplify right side
    57,433x = 14,806,995,856
  5. Step 5: Solve for x
    x = 14,806,995,856/57,433
  6. Step 6: Final answer
    x = 257,813.38

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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.