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Finding the Third Proportional to 90,648 and 195,711.75

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Solution

The third proportional to 90,648 and 195,711.75 is: 422,547.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,648 : 195,711.75 = 195,711.75 : x
  2. Step 2: Convert to fraction form
    90,648/195,711.75 = 195,711.75/x
  3. Step 3: Cross multiply
    90,648x = 195,711.75 × 195,711.75
  4. Step 4: Simplify right side
    90,648x = 38,303,089,088.06
  5. Step 5: Solve for x
    x = 38,303,089,088.06/90,648
  6. Step 6: Final answer
    x = 422,547.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.