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Finding the Third Proportional to 5,460 and 8,235.19

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Solution

The third proportional to 5,460 and 8,235.19 is: 12,420.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460 : 8,235.19 = 8,235.19 : x
  2. Step 2: Convert to fraction form
    5,460/8,235.19 = 8,235.19/x
  3. Step 3: Cross multiply
    5,460x = 8,235.19 × 8,235.19
  4. Step 4: Simplify right side
    5,460x = 67,818,313.16
  5. Step 5: Solve for x
    x = 67,818,313.16/5,460
  6. Step 6: Final answer
    x = 12,420.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.