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Finding the Third Proportional to 8,160 and 8,898

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Solution

The third proportional to 8,160 and 8,898 is: 9,702.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,160 : 8,898 = 8,898 : x
  2. Step 2: Convert to fraction form
    8,160/8,898 = 8,898/x
  3. Step 3: Cross multiply
    8,160x = 8,898 × 8,898
  4. Step 4: Simplify right side
    8,160x = 79,174,404
  5. Step 5: Solve for x
    x = 79,174,404/8,160
  6. Step 6: Final answer
    x = 9,702.75

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.