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Finding the Third Proportional to 344,784 and 515,100

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Solution

The third proportional to 344,784 and 515,100 is: 769,548.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,784 : 515,100 = 515,100 : x
  2. Step 2: Convert to fraction form
    344,784/515,100 = 515,100/x
  3. Step 3: Cross multiply
    344,784x = 515,100 × 515,100
  4. Step 4: Simplify right side
    344,784x = 265,328,010,000
  5. Step 5: Solve for x
    x = 265,328,010,000/344,784
  6. Step 6: Final answer
    x = 769,548.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.