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Finding the Third Proportional to 340,613 and 515,636

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Solution

The third proportional to 340,613 and 515,636 is: 780,594.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,613 : 515,636 = 515,636 : x
  2. Step 2: Convert to fraction form
    340,613/515,636 = 515,636/x
  3. Step 3: Cross multiply
    340,613x = 515,636 × 515,636
  4. Step 4: Simplify right side
    340,613x = 265,880,484,496
  5. Step 5: Solve for x
    x = 265,880,484,496/340,613
  6. Step 6: Final answer
    x = 780,594.06

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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.