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Finding the Third Proportional to 90,983 and 197,506

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Solution

The third proportional to 90,983 and 197,506 is: 428,746.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,983 : 197,506 = 197,506 : x
  2. Step 2: Convert to fraction form
    90,983/197,506 = 197,506/x
  3. Step 3: Cross multiply
    90,983x = 197,506 × 197,506
  4. Step 4: Simplify right side
    90,983x = 39,008,620,036
  5. Step 5: Solve for x
    x = 39,008,620,036/90,983
  6. Step 6: Final answer
    x = 428,746.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.