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Finding the Third Proportional to 200,038 and 434,421

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Solution

The third proportional to 200,038 and 434,421 is: 943,428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,038 : 434,421 = 434,421 : x
  2. Step 2: Convert to fraction form
    200,038/434,421 = 434,421/x
  3. Step 3: Cross multiply
    200,038x = 434,421 × 434,421
  4. Step 4: Simplify right side
    200,038x = 188,721,605,241
  5. Step 5: Solve for x
    x = 188,721,605,241/200,038
  6. Step 6: Final answer
    x = 943,428.77

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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.