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Finding the Third Proportional to 77,298 and 162,898

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Solution

The third proportional to 77,298 and 162,898 is: 343,291.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,298 : 162,898 = 162,898 : x
  2. Step 2: Convert to fraction form
    77,298/162,898 = 162,898/x
  3. Step 3: Cross multiply
    77,298x = 162,898 × 162,898
  4. Step 4: Simplify right side
    77,298x = 26,535,758,404
  5. Step 5: Solve for x
    x = 26,535,758,404/77,298
  6. Step 6: Final answer
    x = 343,291.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.