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Finding the Third Proportional to 86,564 and 129,502

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Solution

The third proportional to 86,564 and 129,502 is: 193,738.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,564 : 129,502 = 129,502 : x
  2. Step 2: Convert to fraction form
    86,564/129,502 = 129,502/x
  3. Step 3: Cross multiply
    86,564x = 129,502 × 129,502
  4. Step 4: Simplify right side
    86,564x = 16,770,768,004
  5. Step 5: Solve for x
    x = 16,770,768,004/86,564
  6. Step 6: Final answer
    x = 193,738.37

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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.