Finding the Third Proportional to 7,697 and 12,395.50
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Solution
The third proportional to 7,697 and 12,395.50 is: 19,962.12
Step by Step Solution
- Step 1: Write the proportion equation
7,697 : 12,395.50 = 12,395.50 : x - Step 2: Convert to fraction form
7,697/12,395.50 = 12,395.50/x - Step 3: Cross multiply
7,697x = 12,395.50 × 12,395.50 - Step 4: Simplify right side
7,697x = 153,648,420.25 - Step 5: Solve for x
x = 153,648,420.25/7,697 - Step 6: Final answer
x = 19,962.12
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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.