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Finding the Third Proportional to 199,755 and 429,157

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Solution

The third proportional to 199,755 and 429,157 is: 922,008.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,755 : 429,157 = 429,157 : x
  2. Step 2: Convert to fraction form
    199,755/429,157 = 429,157/x
  3. Step 3: Cross multiply
    199,755x = 429,157 × 429,157
  4. Step 4: Simplify right side
    199,755x = 184,175,730,649
  5. Step 5: Solve for x
    x = 184,175,730,649/199,755
  6. Step 6: Final answer
    x = 922,008.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.