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Finding the Third Proportional to 90,426 and 133,796

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Solution

The third proportional to 90,426 and 133,796 is: 197,967.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,426 : 133,796 = 133,796 : x
  2. Step 2: Convert to fraction form
    90,426/133,796 = 133,796/x
  3. Step 3: Cross multiply
    90,426x = 133,796 × 133,796
  4. Step 4: Simplify right side
    90,426x = 17,901,369,616
  5. Step 5: Solve for x
    x = 17,901,369,616/90,426
  6. Step 6: Final answer
    x = 197,967.06

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.