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Finding the Third Proportional to 90,470 and 192,964

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Solution

The third proportional to 90,470 and 192,964 is: 411,574.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,470 : 192,964 = 192,964 : x
  2. Step 2: Convert to fraction form
    90,470/192,964 = 192,964/x
  3. Step 3: Cross multiply
    90,470x = 192,964 × 192,964
  4. Step 4: Simplify right side
    90,470x = 37,235,105,296
  5. Step 5: Solve for x
    x = 37,235,105,296/90,470
  6. Step 6: Final answer
    x = 411,574.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.