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Finding the Third Proportional to 77,076.42 and 168,122.81

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Solution

The third proportional to 77,076.42 and 168,122.81 is: 366,717.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,076.42 : 168,122.81 = 168,122.81 : x
  2. Step 2: Convert to fraction form
    77,076.42/168,122.81 = 168,122.81/x
  3. Step 3: Cross multiply
    77,076.42x = 168,122.81 × 168,122.81
  4. Step 4: Simplify right side
    77,076.42x = 28,265,280,082.91
  5. Step 5: Solve for x
    x = 28,265,280,082.91/77,076.42
  6. Step 6: Final answer
    x = 366,717.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.