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Finding the Third Proportional to 302,536.50 and 644,815.50

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Solution

The third proportional to 302,536.50 and 644,815.50 is: 1,374,336.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,536.50 : 644,815.50 = 644,815.50 : x
  2. Step 2: Convert to fraction form
    302,536.50/644,815.50 = 644,815.50/x
  3. Step 3: Cross multiply
    302,536.50x = 644,815.50 × 644,815.50
  4. Step 4: Simplify right side
    302,536.50x = 415,787,029,040.25
  5. Step 5: Solve for x
    x = 415,787,029,040.25/302,536.50
  6. Step 6: Final answer
    x = 1,374,336.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.