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Finding the Third Proportional to 138,210 and 208,289

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Solution

The third proportional to 138,210 and 208,289 is: 313,901.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,210 : 208,289 = 208,289 : x
  2. Step 2: Convert to fraction form
    138,210/208,289 = 208,289/x
  3. Step 3: Cross multiply
    138,210x = 208,289 × 208,289
  4. Step 4: Simplify right side
    138,210x = 43,384,307,521
  5. Step 5: Solve for x
    x = 43,384,307,521/138,210
  6. Step 6: Final answer
    x = 313,901.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.