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Finding the Third Proportional to 1,750.36 and 3,848.13

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Solution

The third proportional to 1,750.36 and 3,848.13 is: 8,460.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.36 : 3,848.13 = 3,848.13 : x
  2. Step 2: Convert to fraction form
    1,750.36/3,848.13 = 3,848.13/x
  3. Step 3: Cross multiply
    1,750.36x = 3,848.13 × 3,848.13
  4. Step 4: Simplify right side
    1,750.36x = 14,808,126.14
  5. Step 5: Solve for x
    x = 14,808,126.14/1,750.36
  6. Step 6: Final answer
    x = 8,460.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.