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Finding the Third Proportional to 114,809 and 243,276

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Solution

The third proportional to 114,809 and 243,276 is: 515,492.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,809 : 243,276 = 243,276 : x
  2. Step 2: Convert to fraction form
    114,809/243,276 = 243,276/x
  3. Step 3: Cross multiply
    114,809x = 243,276 × 243,276
  4. Step 4: Simplify right side
    114,809x = 59,183,212,176
  5. Step 5: Solve for x
    x = 59,183,212,176/114,809
  6. Step 6: Final answer
    x = 515,492.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.