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Finding the Third Proportional to 86,219 and 129,447

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Solution

The third proportional to 86,219 and 129,447 is: 194,348.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,219 : 129,447 = 129,447 : x
  2. Step 2: Convert to fraction form
    86,219/129,447 = 129,447/x
  3. Step 3: Cross multiply
    86,219x = 129,447 × 129,447
  4. Step 4: Simplify right side
    86,219x = 16,756,525,809
  5. Step 5: Solve for x
    x = 16,756,525,809/86,219
  6. Step 6: Final answer
    x = 194,348.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.