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Finding the Third Proportional to 86,998 and 138,273

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Solution

The third proportional to 86,998 and 138,273 is: 219,768.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,998 : 138,273 = 138,273 : x
  2. Step 2: Convert to fraction form
    86,998/138,273 = 138,273/x
  3. Step 3: Cross multiply
    86,998x = 138,273 × 138,273
  4. Step 4: Simplify right side
    86,998x = 19,119,422,529
  5. Step 5: Solve for x
    x = 19,119,422,529/86,998
  6. Step 6: Final answer
    x = 219,768.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.