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Finding the Third Proportional to 118,407 and 247,758

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Solution

The third proportional to 118,407 and 247,758 is: 518,415.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,407 : 247,758 = 247,758 : x
  2. Step 2: Convert to fraction form
    118,407/247,758 = 247,758/x
  3. Step 3: Cross multiply
    118,407x = 247,758 × 247,758
  4. Step 4: Simplify right side
    118,407x = 61,384,026,564
  5. Step 5: Solve for x
    x = 61,384,026,564/118,407
  6. Step 6: Final answer
    x = 518,415.52

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.