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Finding the Third Proportional to 214,394 and 434,620

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Solution

The third proportional to 214,394 and 434,620 is: 881,062.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,394 : 434,620 = 434,620 : x
  2. Step 2: Convert to fraction form
    214,394/434,620 = 434,620/x
  3. Step 3: Cross multiply
    214,394x = 434,620 × 434,620
  4. Step 4: Simplify right side
    214,394x = 188,894,544,400
  5. Step 5: Solve for x
    x = 188,894,544,400/214,394
  6. Step 6: Final answer
    x = 881,062.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.