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Finding the Third Proportional to 108,216 and 234,915

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Solution

The third proportional to 108,216 and 234,915 is: 509,952.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,216 : 234,915 = 234,915 : x
  2. Step 2: Convert to fraction form
    108,216/234,915 = 234,915/x
  3. Step 3: Cross multiply
    108,216x = 234,915 × 234,915
  4. Step 4: Simplify right side
    108,216x = 55,185,057,225
  5. Step 5: Solve for x
    x = 55,185,057,225/108,216
  6. Step 6: Final answer
    x = 509,952.85

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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.