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Finding the Third Proportional to 277,878.50 and 430,546.25

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Solution

The third proportional to 277,878.50 and 430,546.25 is: 667,090.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,878.50 : 430,546.25 = 430,546.25 : x
  2. Step 2: Convert to fraction form
    277,878.50/430,546.25 = 430,546.25/x
  3. Step 3: Cross multiply
    277,878.50x = 430,546.25 × 430,546.25
  4. Step 4: Simplify right side
    277,878.50x = 185,370,073,389.06
  5. Step 5: Solve for x
    x = 185,370,073,389.06/277,878.50
  6. Step 6: Final answer
    x = 667,090.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.