Finding the Third Proportional to 3,132.84 and 6,782.06
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Solution
The third proportional to 3,132.84 and 6,782.06 is: 14,681.99
Step by Step Solution
- Step 1: Write the proportion equation
3,132.84 : 6,782.06 = 6,782.06 : x - Step 2: Convert to fraction form
3,132.84/6,782.06 = 6,782.06/x - Step 3: Cross multiply
3,132.84x = 6,782.06 × 6,782.06 - Step 4: Simplify right side
3,132.84x = 45,996,371.75 - Step 5: Solve for x
x = 45,996,371.75/3,132.84 - Step 6: Final answer
x = 14,681.99
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.