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Finding the Third Proportional to 51,289.25 and 81,146

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Solution

The third proportional to 51,289.25 and 81,146 is: 128,383.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,289.25 : 81,146 = 81,146 : x
  2. Step 2: Convert to fraction form
    51,289.25/81,146 = 81,146/x
  3. Step 3: Cross multiply
    51,289.25x = 81,146 × 81,146
  4. Step 4: Simplify right side
    51,289.25x = 6,584,673,316
  5. Step 5: Solve for x
    x = 6,584,673,316/51,289.25
  6. Step 6: Final answer
    x = 128,383.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.