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Finding the Third Proportional to 77,685 and 168,330

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Solution

The third proportional to 77,685 and 168,330 is: 364,742.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,685 : 168,330 = 168,330 : x
  2. Step 2: Convert to fraction form
    77,685/168,330 = 168,330/x
  3. Step 3: Cross multiply
    77,685x = 168,330 × 168,330
  4. Step 4: Simplify right side
    77,685x = 28,334,988,900
  5. Step 5: Solve for x
    x = 28,334,988,900/77,685
  6. Step 6: Final answer
    x = 364,742.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.