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Finding the Third Proportional to 91,299 and 197,178

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Solution

The third proportional to 91,299 and 197,178 is: 425,844.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,299 : 197,178 = 197,178 : x
  2. Step 2: Convert to fraction form
    91,299/197,178 = 197,178/x
  3. Step 3: Cross multiply
    91,299x = 197,178 × 197,178
  4. Step 4: Simplify right side
    91,299x = 38,879,163,684
  5. Step 5: Solve for x
    x = 38,879,163,684/91,299
  6. Step 6: Final answer
    x = 425,844.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.