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Finding the Third Proportional to 198,706 and 429,104

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Solution

The third proportional to 198,706 and 429,104 is: 926,646.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,706 : 429,104 = 429,104 : x
  2. Step 2: Convert to fraction form
    198,706/429,104 = 429,104/x
  3. Step 3: Cross multiply
    198,706x = 429,104 × 429,104
  4. Step 4: Simplify right side
    198,706x = 184,130,242,816
  5. Step 5: Solve for x
    x = 184,130,242,816/198,706
  6. Step 6: Final answer
    x = 926,646.62

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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.