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Finding the Third Proportional to 340,212 and 512,950.50

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Solution

The third proportional to 340,212 and 512,950.50 is: 773,394.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,212 : 512,950.50 = 512,950.50 : x
  2. Step 2: Convert to fraction form
    340,212/512,950.50 = 512,950.50/x
  3. Step 3: Cross multiply
    340,212x = 512,950.50 × 512,950.50
  4. Step 4: Simplify right side
    340,212x = 263,118,215,450.25
  5. Step 5: Solve for x
    x = 263,118,215,450.25/340,212
  6. Step 6: Final answer
    x = 773,394.87

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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.