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Finding the Third Proportional to 476,194 and 720,435

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Solution

The third proportional to 476,194 and 720,435 is: 1,089,947.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,194 : 720,435 = 720,435 : x
  2. Step 2: Convert to fraction form
    476,194/720,435 = 720,435/x
  3. Step 3: Cross multiply
    476,194x = 720,435 × 720,435
  4. Step 4: Simplify right side
    476,194x = 519,026,589,225
  5. Step 5: Solve for x
    x = 519,026,589,225/476,194
  6. Step 6: Final answer
    x = 1,089,947.77

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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.