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Finding the Third Proportional to 425,171.75 and 644,506.25

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Solution

The third proportional to 425,171.75 and 644,506.25 is: 976,989.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,171.75 : 644,506.25 = 644,506.25 : x
  2. Step 2: Convert to fraction form
    425,171.75/644,506.25 = 644,506.25/x
  3. Step 3: Cross multiply
    425,171.75x = 644,506.25 × 644,506.25
  4. Step 4: Simplify right side
    425,171.75x = 415,388,306,289.06
  5. Step 5: Solve for x
    x = 415,388,306,289.06/425,171.75
  6. Step 6: Final answer
    x = 976,989.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.