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Finding the Third Proportional to 935.93 and 1,420.98

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Solution

The third proportional to 935.93 and 1,420.98 is: 2,157.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.93 : 1,420.98 = 1,420.98 : x
  2. Step 2: Convert to fraction form
    935.93/1,420.98 = 1,420.98/x
  3. Step 3: Cross multiply
    935.93x = 1,420.98 × 1,420.98
  4. Step 4: Simplify right side
    935.93x = 2,019,185.49
  5. Step 5: Solve for x
    x = 2,019,185.49/935.93
  6. Step 6: Final answer
    x = 2,157.41

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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.