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Finding the Third Proportional to 117,748 and 254,276

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Solution

The third proportional to 117,748 and 254,276 is: 549,107.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,748 : 254,276 = 254,276 : x
  2. Step 2: Convert to fraction form
    117,748/254,276 = 254,276/x
  3. Step 3: Cross multiply
    117,748x = 254,276 × 254,276
  4. Step 4: Simplify right side
    117,748x = 64,656,284,176
  5. Step 5: Solve for x
    x = 64,656,284,176/117,748
  6. Step 6: Final answer
    x = 549,107.28

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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.