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Finding the Third Proportional to 117,912 and 254,497

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Solution

The third proportional to 117,912 and 254,497 is: 549,297.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,912 : 254,497 = 254,497 : x
  2. Step 2: Convert to fraction form
    117,912/254,497 = 254,497/x
  3. Step 3: Cross multiply
    117,912x = 254,497 × 254,497
  4. Step 4: Simplify right side
    117,912x = 64,768,723,009
  5. Step 5: Solve for x
    x = 64,768,723,009/117,912
  6. Step 6: Final answer
    x = 549,297.13

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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.