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Finding the Third Proportional to 79,688.81 and 186,138

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Solution

The third proportional to 79,688.81 and 186,138 is: 434,783.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,688.81 : 186,138 = 186,138 : x
  2. Step 2: Convert to fraction form
    79,688.81/186,138 = 186,138/x
  3. Step 3: Cross multiply
    79,688.81x = 186,138 × 186,138
  4. Step 4: Simplify right side
    79,688.81x = 34,647,355,044
  5. Step 5: Solve for x
    x = 34,647,355,044/79,688.81
  6. Step 6: Final answer
    x = 434,783.18

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.