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Finding the Third Proportional to 198,679 and 430,998

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Solution

The third proportional to 198,679 and 430,998 is: 934,971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,679 : 430,998 = 430,998 : x
  2. Step 2: Convert to fraction form
    198,679/430,998 = 430,998/x
  3. Step 3: Cross multiply
    198,679x = 430,998 × 430,998
  4. Step 4: Simplify right side
    198,679x = 185,759,276,004
  5. Step 5: Solve for x
    x = 185,759,276,004/198,679
  6. Step 6: Final answer
    x = 934,971.87

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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.