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Finding the Third Proportional to 90,959.84 and 197,820.98

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Solution

The third proportional to 90,959.84 and 197,820.98 is: 430,224.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,959.84 : 197,820.98 = 197,820.98 : x
  2. Step 2: Convert to fraction form
    90,959.84/197,820.98 = 197,820.98/x
  3. Step 3: Cross multiply
    90,959.84x = 197,820.98 × 197,820.98
  4. Step 4: Simplify right side
    90,959.84x = 39,133,141,859.09
  5. Step 5: Solve for x
    x = 39,133,141,859.09/90,959.84
  6. Step 6: Final answer
    x = 430,224.41

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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.