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Finding the Third Proportional to 199,098 and 429,867

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Solution

The third proportional to 199,098 and 429,867 is: 928,113.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,098 : 429,867 = 429,867 : x
  2. Step 2: Convert to fraction form
    199,098/429,867 = 429,867/x
  3. Step 3: Cross multiply
    199,098x = 429,867 × 429,867
  4. Step 4: Simplify right side
    199,098x = 184,785,637,689
  5. Step 5: Solve for x
    x = 184,785,637,689/199,098
  6. Step 6: Final answer
    x = 928,113.98

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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.