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Finding the Third Proportional to 202,438 and 434,333

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Solution

The third proportional to 202,438 and 434,333 is: 931,866.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,438 : 434,333 = 434,333 : x
  2. Step 2: Convert to fraction form
    202,438/434,333 = 434,333/x
  3. Step 3: Cross multiply
    202,438x = 434,333 × 434,333
  4. Step 4: Simplify right side
    202,438x = 188,645,154,889
  5. Step 5: Solve for x
    x = 188,645,154,889/202,438
  6. Step 6: Final answer
    x = 931,866.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.