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Finding the Third Proportional to 30,740 and 66,412

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Solution

The third proportional to 30,740 and 66,412 is: 143,479.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,740 : 66,412 = 66,412 : x
  2. Step 2: Convert to fraction form
    30,740/66,412 = 66,412/x
  3. Step 3: Cross multiply
    30,740x = 66,412 × 66,412
  4. Step 4: Simplify right side
    30,740x = 4,410,553,744
  5. Step 5: Solve for x
    x = 4,410,553,744/30,740
  6. Step 6: Final answer
    x = 143,479.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.