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Finding the Third Proportional to 117,711 and 254,284

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Solution

The third proportional to 117,711 and 254,284 is: 549,314.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,711 : 254,284 = 254,284 : x
  2. Step 2: Convert to fraction form
    117,711/254,284 = 254,284/x
  3. Step 3: Cross multiply
    117,711x = 254,284 × 254,284
  4. Step 4: Simplify right side
    117,711x = 64,660,352,656
  5. Step 5: Solve for x
    x = 64,660,352,656/117,711
  6. Step 6: Final answer
    x = 549,314.45

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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.