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Finding the Third Proportional to 51,005 and 84,289

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Solution

The third proportional to 51,005 and 84,289 is: 139,292.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,005 : 84,289 = 84,289 : x
  2. Step 2: Convert to fraction form
    51,005/84,289 = 84,289/x
  3. Step 3: Cross multiply
    51,005x = 84,289 × 84,289
  4. Step 4: Simplify right side
    51,005x = 7,104,635,521
  5. Step 5: Solve for x
    x = 7,104,635,521/51,005
  6. Step 6: Final answer
    x = 139,292.92

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.