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Finding the Third Proportional to 345.09 and 735.54

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Solution

The third proportional to 345.09 and 735.54 is: 1,567.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.09 : 735.54 = 735.54 : x
  2. Step 2: Convert to fraction form
    345.09/735.54 = 735.54/x
  3. Step 3: Cross multiply
    345.09x = 735.54 × 735.54
  4. Step 4: Simplify right side
    345.09x = 541,017.71
  5. Step 5: Solve for x
    x = 541,017.71/345.09
  6. Step 6: Final answer
    x = 1,567.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.