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Finding the Third Proportional to 77,040 and 168,176

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Solution

The third proportional to 77,040 and 168,176 is: 367,123.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,040 : 168,176 = 168,176 : x
  2. Step 2: Convert to fraction form
    77,040/168,176 = 168,176/x
  3. Step 3: Cross multiply
    77,040x = 168,176 × 168,176
  4. Step 4: Simplify right side
    77,040x = 28,283,166,976
  5. Step 5: Solve for x
    x = 28,283,166,976/77,040
  6. Step 6: Final answer
    x = 367,123.14

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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.