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Finding the Third Proportional to 641.63 and 1,550.06

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Solution

The third proportional to 641.63 and 1,550.06 is: 3,744.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.63 : 1,550.06 = 1,550.06 : x
  2. Step 2: Convert to fraction form
    641.63/1,550.06 = 1,550.06/x
  3. Step 3: Cross multiply
    641.63x = 1,550.06 × 1,550.06
  4. Step 4: Simplify right side
    641.63x = 2,402,693.75
  5. Step 5: Solve for x
    x = 2,402,693.75/641.63
  6. Step 6: Final answer
    x = 3,744.70

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.