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Finding the Third Proportional to 340,644 and 515,682

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Solution

The third proportional to 340,644 and 515,682 is: 780,662.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,644 : 515,682 = 515,682 : x
  2. Step 2: Convert to fraction form
    340,644/515,682 = 515,682/x
  3. Step 3: Cross multiply
    340,644x = 515,682 × 515,682
  4. Step 4: Simplify right side
    340,644x = 265,927,925,124
  5. Step 5: Solve for x
    x = 265,927,925,124/340,644
  6. Step 6: Final answer
    x = 780,662.29

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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.