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Finding the Third Proportional to 5,420.51 and 8,130.77

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Solution

The third proportional to 5,420.51 and 8,130.77 is: 12,196.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.51 : 8,130.77 = 8,130.77 : x
  2. Step 2: Convert to fraction form
    5,420.51/8,130.77 = 8,130.77/x
  3. Step 3: Cross multiply
    5,420.51x = 8,130.77 × 8,130.77
  4. Step 4: Simplify right side
    5,420.51x = 66,109,429.05
  5. Step 5: Solve for x
    x = 66,109,429.05/5,420.51
  6. Step 6: Final answer
    x = 12,196.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.