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Finding the Third Proportional to 79,572 and 107,686

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Solution

The third proportional to 79,572 and 107,686 is: 145,733.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,572 : 107,686 = 107,686 : x
  2. Step 2: Convert to fraction form
    79,572/107,686 = 107,686/x
  3. Step 3: Cross multiply
    79,572x = 107,686 × 107,686
  4. Step 4: Simplify right side
    79,572x = 11,596,274,596
  5. Step 5: Solve for x
    x = 11,596,274,596/79,572
  6. Step 6: Final answer
    x = 145,733.10

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.