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Finding the Third Proportional to 1,636.32 and 3,532.10

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Solution

The third proportional to 1,636.32 and 3,532.10 is: 7,624.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.32 : 3,532.10 = 3,532.10 : x
  2. Step 2: Convert to fraction form
    1,636.32/3,532.10 = 3,532.10/x
  3. Step 3: Cross multiply
    1,636.32x = 3,532.10 × 3,532.10
  4. Step 4: Simplify right side
    1,636.32x = 12,475,700.06
  5. Step 5: Solve for x
    x = 12,475,700.06/1,636.32
  6. Step 6: Final answer
    x = 7,624.24

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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.