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Finding the Third Proportional to 199,654 and 430,965

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Solution

The third proportional to 199,654 and 430,965 is: 930,263.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,654 : 430,965 = 430,965 : x
  2. Step 2: Convert to fraction form
    199,654/430,965 = 430,965/x
  3. Step 3: Cross multiply
    199,654x = 430,965 × 430,965
  4. Step 4: Simplify right side
    199,654x = 185,730,831,225
  5. Step 5: Solve for x
    x = 185,730,831,225/199,654
  6. Step 6: Final answer
    x = 930,263.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.