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Finding the Third Proportional to 90,393 and 197,445

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Solution

The third proportional to 90,393 and 197,445 is: 431,278.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,393 : 197,445 = 197,445 : x
  2. Step 2: Convert to fraction form
    90,393/197,445 = 197,445/x
  3. Step 3: Cross multiply
    90,393x = 197,445 × 197,445
  4. Step 4: Simplify right side
    90,393x = 38,984,528,025
  5. Step 5: Solve for x
    x = 38,984,528,025/90,393
  6. Step 6: Final answer
    x = 431,278.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.