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Finding the Third Proportional to 1,411.19 and 2,153.63

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Solution

The third proportional to 1,411.19 and 2,153.63 is: 3,286.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.19 : 2,153.63 = 2,153.63 : x
  2. Step 2: Convert to fraction form
    1,411.19/2,153.63 = 2,153.63/x
  3. Step 3: Cross multiply
    1,411.19x = 2,153.63 × 2,153.63
  4. Step 4: Simplify right side
    1,411.19x = 4,638,117.99
  5. Step 5: Solve for x
    x = 4,638,117.99/1,411.19
  6. Step 6: Final answer
    x = 3,286.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.