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Finding the Third Proportional to 32,086.13 and 78,666.19

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Solution

The third proportional to 32,086.13 and 78,666.19 is: 192,867.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,086.13 : 78,666.19 = 78,666.19 : x
  2. Step 2: Convert to fraction form
    32,086.13/78,666.19 = 78,666.19/x
  3. Step 3: Cross multiply
    32,086.13x = 78,666.19 × 78,666.19
  4. Step 4: Simplify right side
    32,086.13x = 6,188,369,055.79
  5. Step 5: Solve for x
    x = 6,188,369,055.79/32,086.13
  6. Step 6: Final answer
    x = 192,867.45

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.