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Finding the Third Proportional to 77,676 and 166,428

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Solution

The third proportional to 77,676 and 166,428 is: 356,587.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,676 : 166,428 = 166,428 : x
  2. Step 2: Convert to fraction form
    77,676/166,428 = 166,428/x
  3. Step 3: Cross multiply
    77,676x = 166,428 × 166,428
  4. Step 4: Simplify right side
    77,676x = 27,698,279,184
  5. Step 5: Solve for x
    x = 27,698,279,184/77,676
  6. Step 6: Final answer
    x = 356,587.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.