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Finding the Third Proportional to 121,431 and 257,660

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Solution

The third proportional to 121,431 and 257,660 is: 546,719.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,431 : 257,660 = 257,660 : x
  2. Step 2: Convert to fraction form
    121,431/257,660 = 257,660/x
  3. Step 3: Cross multiply
    121,431x = 257,660 × 257,660
  4. Step 4: Simplify right side
    121,431x = 66,388,675,600
  5. Step 5: Solve for x
    x = 66,388,675,600/121,431
  6. Step 6: Final answer
    x = 546,719.34

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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.