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Finding the Third Proportional to 277,809 and 420,586

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Solution

The third proportional to 277,809 and 420,586 is: 636,741.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,809 : 420,586 = 420,586 : x
  2. Step 2: Convert to fraction form
    277,809/420,586 = 420,586/x
  3. Step 3: Cross multiply
    277,809x = 420,586 × 420,586
  4. Step 4: Simplify right side
    277,809x = 176,892,583,396
  5. Step 5: Solve for x
    x = 176,892,583,396/277,809
  6. Step 6: Final answer
    x = 636,741.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.