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Finding the Third Proportional to 90,423.75 and 196,415

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Solution

The third proportional to 90,423.75 and 196,415 is: 426,645.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,423.75 : 196,415 = 196,415 : x
  2. Step 2: Convert to fraction form
    90,423.75/196,415 = 196,415/x
  3. Step 3: Cross multiply
    90,423.75x = 196,415 × 196,415
  4. Step 4: Simplify right side
    90,423.75x = 38,578,852,225
  5. Step 5: Solve for x
    x = 38,578,852,225/90,423.75
  6. Step 6: Final answer
    x = 426,645.13

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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.