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Finding the Third Proportional to 200,042 and 434,430

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Solution

The third proportional to 200,042 and 434,430 is: 943,449.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,042 : 434,430 = 434,430 : x
  2. Step 2: Convert to fraction form
    200,042/434,430 = 434,430/x
  3. Step 3: Cross multiply
    200,042x = 434,430 × 434,430
  4. Step 4: Simplify right side
    200,042x = 188,729,424,900
  5. Step 5: Solve for x
    x = 188,729,424,900/200,042
  6. Step 6: Final answer
    x = 943,449.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.