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Finding the Third Proportional to 277,385.50 and 427,832.50

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Solution

The third proportional to 277,385.50 and 427,832.50 is: 659,878.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,385.50 : 427,832.50 = 427,832.50 : x
  2. Step 2: Convert to fraction form
    277,385.50/427,832.50 = 427,832.50/x
  3. Step 3: Cross multiply
    277,385.50x = 427,832.50 × 427,832.50
  4. Step 4: Simplify right side
    277,385.50x = 183,040,648,056.25
  5. Step 5: Solve for x
    x = 183,040,648,056.25/277,385.50
  6. Step 6: Final answer
    x = 659,878.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.