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Finding the Third Proportional to 610.25 and 945.63

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Solution

The third proportional to 610.25 and 945.63 is: 1,465.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.25 : 945.63 = 945.63 : x
  2. Step 2: Convert to fraction form
    610.25/945.63 = 945.63/x
  3. Step 3: Cross multiply
    610.25x = 945.63 × 945.63
  4. Step 4: Simplify right side
    610.25x = 894,206.64
  5. Step 5: Solve for x
    x = 894,206.64/610.25
  6. Step 6: Final answer
    x = 1,465.31

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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.