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Finding the Third Proportional to 39,411 and 86,477

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Solution

The third proportional to 39,411 and 86,477 is: 189,750.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,411 : 86,477 = 86,477 : x
  2. Step 2: Convert to fraction form
    39,411/86,477 = 86,477/x
  3. Step 3: Cross multiply
    39,411x = 86,477 × 86,477
  4. Step 4: Simplify right side
    39,411x = 7,478,271,529
  5. Step 5: Solve for x
    x = 7,478,271,529/39,411
  6. Step 6: Final answer
    x = 189,750.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.