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Finding the Third Proportional to 202,576 and 434,586

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Solution

The third proportional to 202,576 and 434,586 is: 932,316.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,576 : 434,586 = 434,586 : x
  2. Step 2: Convert to fraction form
    202,576/434,586 = 434,586/x
  3. Step 3: Cross multiply
    202,576x = 434,586 × 434,586
  4. Step 4: Simplify right side
    202,576x = 188,864,991,396
  5. Step 5: Solve for x
    x = 188,864,991,396/202,576
  6. Step 6: Final answer
    x = 932,316.72

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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.