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Finding the Third Proportional to 114,908 and 243,728

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Solution

The third proportional to 114,908 and 243,728 is: 516,964.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,908 : 243,728 = 243,728 : x
  2. Step 2: Convert to fraction form
    114,908/243,728 = 243,728/x
  3. Step 3: Cross multiply
    114,908x = 243,728 × 243,728
  4. Step 4: Simplify right side
    114,908x = 59,403,337,984
  5. Step 5: Solve for x
    x = 59,403,337,984/114,908
  6. Step 6: Final answer
    x = 516,964.34

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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.