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Finding the Third Proportional to 118,102 and 256,940

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Solution

The third proportional to 118,102 and 256,940 is: 558,992.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,102 : 256,940 = 256,940 : x
  2. Step 2: Convert to fraction form
    118,102/256,940 = 256,940/x
  3. Step 3: Cross multiply
    118,102x = 256,940 × 256,940
  4. Step 4: Simplify right side
    118,102x = 66,018,163,600
  5. Step 5: Solve for x
    x = 66,018,163,600/118,102
  6. Step 6: Final answer
    x = 558,992.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.