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Finding the Third Proportional to 67,176 and 90,918

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Solution

The third proportional to 67,176 and 90,918 is: 123,051.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,176 : 90,918 = 90,918 : x
  2. Step 2: Convert to fraction form
    67,176/90,918 = 90,918/x
  3. Step 3: Cross multiply
    67,176x = 90,918 × 90,918
  4. Step 4: Simplify right side
    67,176x = 8,266,082,724
  5. Step 5: Solve for x
    x = 8,266,082,724/67,176
  6. Step 6: Final answer
    x = 123,051.13

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.