Finding the Third Proportional to 978.50 and 2,056
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Solution
The third proportional to 978.50 and 2,056 is: 4,320.02
Step by Step Solution
- Step 1: Write the proportion equation
978.50 : 2,056 = 2,056 : x - Step 2: Convert to fraction form
978.50/2,056 = 2,056/x - Step 3: Cross multiply
978.50x = 2,056 × 2,056 - Step 4: Simplify right side
978.50x = 4,227,136 - Step 5: Solve for x
x = 4,227,136/978.50 - Step 6: Final answer
x = 4,320.02
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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.