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Finding the Third Proportional to 90,656 and 197,442

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Solution

The third proportional to 90,656 and 197,442 is: 430,013.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,656 : 197,442 = 197,442 : x
  2. Step 2: Convert to fraction form
    90,656/197,442 = 197,442/x
  3. Step 3: Cross multiply
    90,656x = 197,442 × 197,442
  4. Step 4: Simplify right side
    90,656x = 38,983,343,364
  5. Step 5: Solve for x
    x = 38,983,343,364/90,656
  6. Step 6: Final answer
    x = 430,013.94

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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.