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Finding the Third Proportional to 51,129 and 109,365

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Solution

The third proportional to 51,129 and 109,365 is: 233,931.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,129 : 109,365 = 109,365 : x
  2. Step 2: Convert to fraction form
    51,129/109,365 = 109,365/x
  3. Step 3: Cross multiply
    51,129x = 109,365 × 109,365
  4. Step 4: Simplify right side
    51,129x = 11,960,703,225
  5. Step 5: Solve for x
    x = 11,960,703,225/51,129
  6. Step 6: Final answer
    x = 233,931.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.