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Finding the Third Proportional to 277,477.50 and 417,855.75

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Solution

The third proportional to 277,477.50 and 417,855.75 is: 629,252.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,477.50 : 417,855.75 = 417,855.75 : x
  2. Step 2: Convert to fraction form
    277,477.50/417,855.75 = 417,855.75/x
  3. Step 3: Cross multiply
    277,477.50x = 417,855.75 × 417,855.75
  4. Step 4: Simplify right side
    277,477.50x = 174,603,427,808.06
  5. Step 5: Solve for x
    x = 174,603,427,808.06/277,477.50
  6. Step 6: Final answer
    x = 629,252.56

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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.