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Finding the Third Proportional to 207,320 and 429,400

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Solution

The third proportional to 207,320 and 429,400 is: 889,370.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,320 : 429,400 = 429,400 : x
  2. Step 2: Convert to fraction form
    207,320/429,400 = 429,400/x
  3. Step 3: Cross multiply
    207,320x = 429,400 × 429,400
  4. Step 4: Simplify right side
    207,320x = 184,384,360,000
  5. Step 5: Solve for x
    x = 184,384,360,000/207,320
  6. Step 6: Final answer
    x = 889,370.83

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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.