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Finding the Third Proportional to 91,619 and 197,088.50

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Solution

The third proportional to 91,619 and 197,088.50 is: 423,971.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,619 : 197,088.50 = 197,088.50 : x
  2. Step 2: Convert to fraction form
    91,619/197,088.50 = 197,088.50/x
  3. Step 3: Cross multiply
    91,619x = 197,088.50 × 197,088.50
  4. Step 4: Simplify right side
    91,619x = 38,843,876,832.25
  5. Step 5: Solve for x
    x = 38,843,876,832.25/91,619
  6. Step 6: Final answer
    x = 423,971.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.