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Finding the Third Proportional to 206,820 and 429,000

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Solution

The third proportional to 206,820 and 429,000 is: 889,860.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,820 : 429,000 = 429,000 : x
  2. Step 2: Convert to fraction form
    206,820/429,000 = 429,000/x
  3. Step 3: Cross multiply
    206,820x = 429,000 × 429,000
  4. Step 4: Simplify right side
    206,820x = 184,041,000,000
  5. Step 5: Solve for x
    x = 184,041,000,000/206,820
  6. Step 6: Final answer
    x = 889,860.75

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.