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Finding the Third Proportional to 115,216 and 239,628

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Solution

The third proportional to 115,216 and 239,628 is: 498,381.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,216 : 239,628 = 239,628 : x
  2. Step 2: Convert to fraction form
    115,216/239,628 = 239,628/x
  3. Step 3: Cross multiply
    115,216x = 239,628 × 239,628
  4. Step 4: Simplify right side
    115,216x = 57,421,578,384
  5. Step 5: Solve for x
    x = 57,421,578,384/115,216
  6. Step 6: Final answer
    x = 498,381.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.