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Finding the Third Proportional to 39,999.50 and 86,413

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Solution

The third proportional to 39,999.50 and 86,413 is: 186,682.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,999.50 : 86,413 = 86,413 : x
  2. Step 2: Convert to fraction form
    39,999.50/86,413 = 86,413/x
  3. Step 3: Cross multiply
    39,999.50x = 86,413 × 86,413
  4. Step 4: Simplify right side
    39,999.50x = 7,467,206,569
  5. Step 5: Solve for x
    x = 7,467,206,569/39,999.50
  6. Step 6: Final answer
    x = 186,682.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.