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Finding the Third Proportional to 302,539.50 and 644,823

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Solution

The third proportional to 302,539.50 and 644,823 is: 1,374,355.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,539.50 : 644,823 = 644,823 : x
  2. Step 2: Convert to fraction form
    302,539.50/644,823 = 644,823/x
  3. Step 3: Cross multiply
    302,539.50x = 644,823 × 644,823
  4. Step 4: Simplify right side
    302,539.50x = 415,796,701,329
  5. Step 5: Solve for x
    x = 415,796,701,329/302,539.50
  6. Step 6: Final answer
    x = 1,374,355.09

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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.