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Finding the Third Proportional to 86,946 and 138,201

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Solution

The third proportional to 86,946 and 138,201 is: 219,671.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,946 : 138,201 = 138,201 : x
  2. Step 2: Convert to fraction form
    86,946/138,201 = 138,201/x
  3. Step 3: Cross multiply
    86,946x = 138,201 × 138,201
  4. Step 4: Simplify right side
    86,946x = 19,099,516,401
  5. Step 5: Solve for x
    x = 19,099,516,401/86,946
  6. Step 6: Final answer
    x = 219,671.02

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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.