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Finding the Third Proportional to 118,431 and 257,121

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Solution

The third proportional to 118,431 and 257,121 is: 558,225.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,431 : 257,121 = 257,121 : x
  2. Step 2: Convert to fraction form
    118,431/257,121 = 257,121/x
  3. Step 3: Cross multiply
    118,431x = 257,121 × 257,121
  4. Step 4: Simplify right side
    118,431x = 66,111,208,641
  5. Step 5: Solve for x
    x = 66,111,208,641/118,431
  6. Step 6: Final answer
    x = 558,225.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.