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Finding the Third Proportional to 51,428 and 104,287

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Solution

The third proportional to 51,428 and 104,287 is: 211,475.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,428 : 104,287 = 104,287 : x
  2. Step 2: Convert to fraction form
    51,428/104,287 = 104,287/x
  3. Step 3: Cross multiply
    51,428x = 104,287 × 104,287
  4. Step 4: Simplify right side
    51,428x = 10,875,778,369
  5. Step 5: Solve for x
    x = 10,875,778,369/51,428
  6. Step 6: Final answer
    x = 211,475.82

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.