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Finding the Third Proportional to 302,560.50 and 644,865

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Solution

The third proportional to 302,560.50 and 644,865 is: 1,374,438.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,560.50 : 644,865 = 644,865 : x
  2. Step 2: Convert to fraction form
    302,560.50/644,865 = 644,865/x
  3. Step 3: Cross multiply
    302,560.50x = 644,865 × 644,865
  4. Step 4: Simplify right side
    302,560.50x = 415,850,868,225
  5. Step 5: Solve for x
    x = 415,850,868,225/302,560.50
  6. Step 6: Final answer
    x = 1,374,438.73

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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.