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Finding the Third Proportional to 340,796 and 515,968

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Solution

The third proportional to 340,796 and 515,968 is: 781,179.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,796 : 515,968 = 515,968 : x
  2. Step 2: Convert to fraction form
    340,796/515,968 = 515,968/x
  3. Step 3: Cross multiply
    340,796x = 515,968 × 515,968
  4. Step 4: Simplify right side
    340,796x = 266,222,977,024
  5. Step 5: Solve for x
    x = 266,222,977,024/340,796
  6. Step 6: Final answer
    x = 781,179.88

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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.