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Finding the Third Proportional to 340,602 and 515,620

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Solution

The third proportional to 340,602 and 515,620 is: 780,570.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,602 : 515,620 = 515,620 : x
  2. Step 2: Convert to fraction form
    340,602/515,620 = 515,620/x
  3. Step 3: Cross multiply
    340,602x = 515,620 × 515,620
  4. Step 4: Simplify right side
    340,602x = 265,863,984,400
  5. Step 5: Solve for x
    x = 265,863,984,400/340,602
  6. Step 6: Final answer
    x = 780,570.83

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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.