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Finding the Third Proportional to 270,912 and 419,248

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Solution

The third proportional to 270,912 and 419,248 is: 648,804.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,912 : 419,248 = 419,248 : x
  2. Step 2: Convert to fraction form
    270,912/419,248 = 419,248/x
  3. Step 3: Cross multiply
    270,912x = 419,248 × 419,248
  4. Step 4: Simplify right side
    270,912x = 175,768,885,504
  5. Step 5: Solve for x
    x = 175,768,885,504/270,912
  6. Step 6: Final answer
    x = 648,804.36

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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.