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Finding the Third Proportional to 1,615.88 and 3,489.63

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Solution

The third proportional to 1,615.88 and 3,489.63 is: 7,536.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.88 : 3,489.63 = 3,489.63 : x
  2. Step 2: Convert to fraction form
    1,615.88/3,489.63 = 3,489.63/x
  3. Step 3: Cross multiply
    1,615.88x = 3,489.63 × 3,489.63
  4. Step 4: Simplify right side
    1,615.88x = 12,177,482.64
  5. Step 5: Solve for x
    x = 12,177,482.64/1,615.88
  6. Step 6: Final answer
    x = 7,536.15

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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.