Finding the Third Proportional to 5,289.75 and 8,421.75
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Solution
The third proportional to 5,289.75 and 8,421.75 is: 13,408.17
Step by Step Solution
- Step 1: Write the proportion equation
5,289.75 : 8,421.75 = 8,421.75 : x - Step 2: Convert to fraction form
5,289.75/8,421.75 = 8,421.75/x - Step 3: Cross multiply
5,289.75x = 8,421.75 × 8,421.75 - Step 4: Simplify right side
5,289.75x = 70,925,873.06 - Step 5: Solve for x
x = 70,925,873.06/5,289.75 - Step 6: Final answer
x = 13,408.17
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.