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Finding the Third Proportional to 121,434.75 and 257,665.50

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Solution

The third proportional to 121,434.75 and 257,665.50 is: 546,725.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,434.75 : 257,665.50 = 257,665.50 : x
  2. Step 2: Convert to fraction form
    121,434.75/257,665.50 = 257,665.50/x
  3. Step 3: Cross multiply
    121,434.75x = 257,665.50 × 257,665.50
  4. Step 4: Simplify right side
    121,434.75x = 66,391,509,890.25
  5. Step 5: Solve for x
    x = 66,391,509,890.25/121,434.75
  6. Step 6: Final answer
    x = 546,725.79

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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.