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Finding the Third Proportional to 415,669.50 and 644,908.50

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Solution

The third proportional to 415,669.50 and 644,908.50 is: 1,000,571.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,669.50 : 644,908.50 = 644,908.50 : x
  2. Step 2: Convert to fraction form
    415,669.50/644,908.50 = 644,908.50/x
  3. Step 3: Cross multiply
    415,669.50x = 644,908.50 × 644,908.50
  4. Step 4: Simplify right side
    415,669.50x = 415,906,973,372.25
  5. Step 5: Solve for x
    x = 415,906,973,372.25/415,669.50
  6. Step 6: Final answer
    x = 1,000,571.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.