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Finding the Third Proportional to 1,642 and 3,572

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Solution

The third proportional to 1,642 and 3,572 is: 7,770.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642 : 3,572 = 3,572 : x
  2. Step 2: Convert to fraction form
    1,642/3,572 = 3,572/x
  3. Step 3: Cross multiply
    1,642x = 3,572 × 3,572
  4. Step 4: Simplify right side
    1,642x = 12,759,184
  5. Step 5: Solve for x
    x = 12,759,184/1,642
  6. Step 6: Final answer
    x = 7,770.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.