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Finding the Third Proportional to 353.95 and 740.18

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Solution

The third proportional to 353.95 and 740.18 is: 1,547.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.95 : 740.18 = 740.18 : x
  2. Step 2: Convert to fraction form
    353.95/740.18 = 740.18/x
  3. Step 3: Cross multiply
    353.95x = 740.18 × 740.18
  4. Step 4: Simplify right side
    353.95x = 547,865.97
  5. Step 5: Solve for x
    x = 547,865.97/353.95
  6. Step 6: Final answer
    x = 1,547.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.