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Finding the Third Proportional to 90,328.92 and 197,309.67

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Solution

The third proportional to 90,328.92 and 197,309.67 is: 430,992.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,328.92 : 197,309.67 = 197,309.67 : x
  2. Step 2: Convert to fraction form
    90,328.92/197,309.67 = 197,309.67/x
  3. Step 3: Cross multiply
    90,328.92x = 197,309.67 × 197,309.67
  4. Step 4: Simplify right side
    90,328.92x = 38,931,106,615.42
  5. Step 5: Solve for x
    x = 38,931,106,615.42/90,328.92
  6. Step 6: Final answer
    x = 430,992.71

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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.