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Finding the Third Proportional to 1,421.16 and 2,162.53

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Solution

The third proportional to 1,421.16 and 2,162.53 is: 3,290.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.16 : 2,162.53 = 2,162.53 : x
  2. Step 2: Convert to fraction form
    1,421.16/2,162.53 = 2,162.53/x
  3. Step 3: Cross multiply
    1,421.16x = 2,162.53 × 2,162.53
  4. Step 4: Simplify right side
    1,421.16x = 4,676,541.41
  5. Step 5: Solve for x
    x = 4,676,541.41/1,421.16
  6. Step 6: Final answer
    x = 3,290.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.