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Finding the Third Proportional to 114,471 and 248,636

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Solution

The third proportional to 114,471 and 248,636 is: 540,048.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,471 : 248,636 = 248,636 : x
  2. Step 2: Convert to fraction form
    114,471/248,636 = 248,636/x
  3. Step 3: Cross multiply
    114,471x = 248,636 × 248,636
  4. Step 4: Simplify right side
    114,471x = 61,819,860,496
  5. Step 5: Solve for x
    x = 61,819,860,496/114,471
  6. Step 6: Final answer
    x = 540,048.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.