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Finding the Third Proportional to 6,142.19 and 9,741.50

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Solution

The third proportional to 6,142.19 and 9,741.50 is: 15,450.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.19 : 9,741.50 = 9,741.50 : x
  2. Step 2: Convert to fraction form
    6,142.19/9,741.50 = 9,741.50/x
  3. Step 3: Cross multiply
    6,142.19x = 9,741.50 × 9,741.50
  4. Step 4: Simplify right side
    6,142.19x = 94,896,822.25
  5. Step 5: Solve for x
    x = 94,896,822.25/6,142.19
  6. Step 6: Final answer
    x = 15,450.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.