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Finding the Third Proportional to 7,440 and 17,808

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Solution

The third proportional to 7,440 and 17,808 is: 42,624.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,440 : 17,808 = 17,808 : x
  2. Step 2: Convert to fraction form
    7,440/17,808 = 17,808/x
  3. Step 3: Cross multiply
    7,440x = 17,808 × 17,808
  4. Step 4: Simplify right side
    7,440x = 317,124,864
  5. Step 5: Solve for x
    x = 317,124,864/7,440
  6. Step 6: Final answer
    x = 42,624.31

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.