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Finding the Third Proportional to 340,788 and 515,956

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Solution

The third proportional to 340,788 and 515,956 is: 781,161.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,788 : 515,956 = 515,956 : x
  2. Step 2: Convert to fraction form
    340,788/515,956 = 515,956/x
  3. Step 3: Cross multiply
    340,788x = 515,956 × 515,956
  4. Step 4: Simplify right side
    340,788x = 266,210,593,936
  5. Step 5: Solve for x
    x = 266,210,593,936/340,788
  6. Step 6: Final answer
    x = 781,161.88

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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.