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Finding the Third Proportional to 90,663 and 197,455.50

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Solution

The third proportional to 90,663 and 197,455.50 is: 430,039.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,663 : 197,455.50 = 197,455.50 : x
  2. Step 2: Convert to fraction form
    90,663/197,455.50 = 197,455.50/x
  3. Step 3: Cross multiply
    90,663x = 197,455.50 × 197,455.50
  4. Step 4: Simplify right side
    90,663x = 38,988,674,480.25
  5. Step 5: Solve for x
    x = 38,988,674,480.25/90,663
  6. Step 6: Final answer
    x = 430,039.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.