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Finding the Third Proportional to 277,703.44 and 420,450.75

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Solution

The third proportional to 277,703.44 and 420,450.75 is: 636,574.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,703.44 : 420,450.75 = 420,450.75 : x
  2. Step 2: Convert to fraction form
    277,703.44/420,450.75 = 420,450.75/x
  3. Step 3: Cross multiply
    277,703.44x = 420,450.75 × 420,450.75
  4. Step 4: Simplify right side
    277,703.44x = 176,778,833,175.56
  5. Step 5: Solve for x
    x = 176,778,833,175.56/277,703.44
  6. Step 6: Final answer
    x = 636,574.16

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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.