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Finding the Third Proportional to 90,192 and 121,679

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Solution

The third proportional to 90,192 and 121,679 is: 164,158.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,192 : 121,679 = 121,679 : x
  2. Step 2: Convert to fraction form
    90,192/121,679 = 121,679/x
  3. Step 3: Cross multiply
    90,192x = 121,679 × 121,679
  4. Step 4: Simplify right side
    90,192x = 14,805,779,041
  5. Step 5: Solve for x
    x = 14,805,779,041/90,192
  6. Step 6: Final answer
    x = 164,158.45

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