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Finding the Third Proportional to 3,348.84 and 4,405.32

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Solution

The third proportional to 3,348.84 and 4,405.32 is: 5,795.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,348.84 : 4,405.32 = 4,405.32 : x
  2. Step 2: Convert to fraction form
    3,348.84/4,405.32 = 4,405.32/x
  3. Step 3: Cross multiply
    3,348.84x = 4,405.32 × 4,405.32
  4. Step 4: Simplify right side
    3,348.84x = 19,406,881.47
  5. Step 5: Solve for x
    x = 19,406,881.47/3,348.84
  6. Step 6: Final answer
    x = 5,795.10

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.