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Finding the Third Proportional to 340,647 and 515,686.50

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Solution

The third proportional to 340,647 and 515,686.50 is: 780,669.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,647 : 515,686.50 = 515,686.50 : x
  2. Step 2: Convert to fraction form
    340,647/515,686.50 = 515,686.50/x
  3. Step 3: Cross multiply
    340,647x = 515,686.50 × 515,686.50
  4. Step 4: Simplify right side
    340,647x = 265,932,566,282.25
  5. Step 5: Solve for x
    x = 265,932,566,282.25/340,647
  6. Step 6: Final answer
    x = 780,669.04

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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.