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Finding the Third Proportional to 202,671 and 431,586

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Solution

The third proportional to 202,671 and 431,586 is: 919,058.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,671 : 431,586 = 431,586 : x
  2. Step 2: Convert to fraction form
    202,671/431,586 = 431,586/x
  3. Step 3: Cross multiply
    202,671x = 431,586 × 431,586
  4. Step 4: Simplify right side
    202,671x = 186,266,475,396
  5. Step 5: Solve for x
    x = 186,266,475,396/202,671
  6. Step 6: Final answer
    x = 919,058.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.