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Finding the Third Proportional to 114,799 and 243,257

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Solution

The third proportional to 114,799 and 243,257 is: 515,457.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,799 : 243,257 = 243,257 : x
  2. Step 2: Convert to fraction form
    114,799/243,257 = 243,257/x
  3. Step 3: Cross multiply
    114,799x = 243,257 × 243,257
  4. Step 4: Simplify right side
    114,799x = 59,173,968,049
  5. Step 5: Solve for x
    x = 59,173,968,049/114,799
  6. Step 6: Final answer
    x = 515,457.17

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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.