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Finding the Third Proportional to 340,754 and 515,907

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Solution

The third proportional to 340,754 and 515,907 is: 781,091.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,754 : 515,907 = 515,907 : x
  2. Step 2: Convert to fraction form
    340,754/515,907 = 515,907/x
  3. Step 3: Cross multiply
    340,754x = 515,907 × 515,907
  4. Step 4: Simplify right side
    340,754x = 266,160,032,649
  5. Step 5: Solve for x
    x = 266,160,032,649/340,754
  6. Step 6: Final answer
    x = 781,091.44

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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.