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Finding the Third Proportional to 88,783.50 and 190,743

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Solution

The third proportional to 88,783.50 and 190,743 is: 409,793.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,783.50 : 190,743 = 190,743 : x
  2. Step 2: Convert to fraction form
    88,783.50/190,743 = 190,743/x
  3. Step 3: Cross multiply
    88,783.50x = 190,743 × 190,743
  4. Step 4: Simplify right side
    88,783.50x = 36,382,892,049
  5. Step 5: Solve for x
    x = 36,382,892,049/88,783.50
  6. Step 6: Final answer
    x = 409,793.40

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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.