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Finding the Third Proportional to 117,854 and 254,378

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Solution

The third proportional to 117,854 and 254,378 is: 549,053.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,854 : 254,378 = 254,378 : x
  2. Step 2: Convert to fraction form
    117,854/254,378 = 254,378/x
  3. Step 3: Cross multiply
    117,854x = 254,378 × 254,378
  4. Step 4: Simplify right side
    117,854x = 64,708,166,884
  5. Step 5: Solve for x
    x = 64,708,166,884/117,854
  6. Step 6: Final answer
    x = 549,053.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.