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Finding the Third Proportional to 86,465 and 177,201

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Solution

The third proportional to 86,465 and 177,201 is: 363,154.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,465 : 177,201 = 177,201 : x
  2. Step 2: Convert to fraction form
    86,465/177,201 = 177,201/x
  3. Step 3: Cross multiply
    86,465x = 177,201 × 177,201
  4. Step 4: Simplify right side
    86,465x = 31,400,194,401
  5. Step 5: Solve for x
    x = 31,400,194,401/86,465
  6. Step 6: Final answer
    x = 363,154.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.