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Finding the Third Proportional to 644 and 921.50

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Solution

The third proportional to 644 and 921.50 is: 1,318.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    644 : 921.50 = 921.50 : x
  2. Step 2: Convert to fraction form
    644/921.50 = 921.50/x
  3. Step 3: Cross multiply
    644x = 921.50 × 921.50
  4. Step 4: Simplify right side
    644x = 849,162.25
  5. Step 5: Solve for x
    x = 849,162.25/644
  6. Step 6: Final answer
    x = 1,318.57

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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.