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Finding the Third Proportional to 376.03 and 560.06

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Solution

The third proportional to 376.03 and 560.06 is: 834.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.03 : 560.06 = 560.06 : x
  2. Step 2: Convert to fraction form
    376.03/560.06 = 560.06/x
  3. Step 3: Cross multiply
    376.03x = 560.06 × 560.06
  4. Step 4: Simplify right side
    376.03x = 313,670.00
  5. Step 5: Solve for x
    x = 313,670.00/376.03
  6. Step 6: Final answer
    x = 834.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.