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Finding the Third Proportional to 90,928.13 and 197,407.13

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Solution

The third proportional to 90,928.13 and 197,407.13 is: 428,575.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,928.13 : 197,407.13 = 197,407.13 : x
  2. Step 2: Convert to fraction form
    90,928.13/197,407.13 = 197,407.13/x
  3. Step 3: Cross multiply
    90,928.13x = 197,407.13 × 197,407.13
  4. Step 4: Simplify right side
    90,928.13x = 38,969,573,000.77
  5. Step 5: Solve for x
    x = 38,969,573,000.77/90,928.13
  6. Step 6: Final answer
    x = 428,575.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.