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Finding the Third Proportional to 52,355 and 109,129

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Solution

The third proportional to 52,355 and 109,129 is: 227,468.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,355 : 109,129 = 109,129 : x
  2. Step 2: Convert to fraction form
    52,355/109,129 = 109,129/x
  3. Step 3: Cross multiply
    52,355x = 109,129 × 109,129
  4. Step 4: Simplify right side
    52,355x = 11,909,138,641
  5. Step 5: Solve for x
    x = 11,909,138,641/52,355
  6. Step 6: Final answer
    x = 227,468.98

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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.