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Finding the Third Proportional to 619.03 and 752.06

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Solution

The third proportional to 619.03 and 752.06 is: 913.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.03 : 752.06 = 752.06 : x
  2. Step 2: Convert to fraction form
    619.03/752.06 = 752.06/x
  3. Step 3: Cross multiply
    619.03x = 752.06 × 752.06
  4. Step 4: Simplify right side
    619.03x = 565,598.00
  5. Step 5: Solve for x
    x = 565,598.00/619.03
  6. Step 6: Final answer
    x = 913.68

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.