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Finding the Third Proportional to 199,117 and 429,931

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Solution

The third proportional to 199,117 and 429,931 is: 928,301.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,117 : 429,931 = 429,931 : x
  2. Step 2: Convert to fraction form
    199,117/429,931 = 429,931/x
  3. Step 3: Cross multiply
    199,117x = 429,931 × 429,931
  4. Step 4: Simplify right side
    199,117x = 184,840,664,761
  5. Step 5: Solve for x
    x = 184,840,664,761/199,117
  6. Step 6: Final answer
    x = 928,301.78

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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.