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Finding the Third Proportional to 345.83 and 730.74

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Solution

The third proportional to 345.83 and 730.74 is: 1,544.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.83 : 730.74 = 730.74 : x
  2. Step 2: Convert to fraction form
    345.83/730.74 = 730.74/x
  3. Step 3: Cross multiply
    345.83x = 730.74 × 730.74
  4. Step 4: Simplify right side
    345.83x = 533,981.29
  5. Step 5: Solve for x
    x = 533,981.29/345.83
  6. Step 6: Final answer
    x = 1,544.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.