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Finding the Third Proportional to 3,878.51 and 5,214.06

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Solution

The third proportional to 3,878.51 and 5,214.06 is: 7,009.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.51 : 5,214.06 = 5,214.06 : x
  2. Step 2: Convert to fraction form
    3,878.51/5,214.06 = 5,214.06/x
  3. Step 3: Cross multiply
    3,878.51x = 5,214.06 × 5,214.06
  4. Step 4: Simplify right side
    3,878.51x = 27,186,407.02
  5. Step 5: Solve for x
    x = 27,186,407.02/3,878.51
  6. Step 6: Final answer
    x = 7,009.50

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.