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Finding the Third Proportional to 644.25 and 920.50

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Solution

The third proportional to 644.25 and 920.50 is: 1,315.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.25 : 920.50 = 920.50 : x
  2. Step 2: Convert to fraction form
    644.25/920.50 = 920.50/x
  3. Step 3: Cross multiply
    644.25x = 920.50 × 920.50
  4. Step 4: Simplify right side
    644.25x = 847,320.25
  5. Step 5: Solve for x
    x = 847,320.25/644.25
  6. Step 6: Final answer
    x = 1,315.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.