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Finding the Third Proportional to 307.55 and 723.30

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Solution

The third proportional to 307.55 and 723.30 is: 1,701.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.55 : 723.30 = 723.30 : x
  2. Step 2: Convert to fraction form
    307.55/723.30 = 723.30/x
  3. Step 3: Cross multiply
    307.55x = 723.30 × 723.30
  4. Step 4: Simplify right side
    307.55x = 523,169.67
  5. Step 5: Solve for x
    x = 523,169.67/307.55
  6. Step 6: Final answer
    x = 1,701.11

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.