Finding the Third Proportional to 210,114 and 314,428.50
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Solution
The third proportional to 210,114 and 314,428.50 is: 470,531.62
Step by Step Solution
- Step 1: Write the proportion equation
210,114 : 314,428.50 = 314,428.50 : x - Step 2: Convert to fraction form
210,114/314,428.50 = 314,428.50/x - Step 3: Cross multiply
210,114x = 314,428.50 × 314,428.50 - Step 4: Simplify right side
210,114x = 98,865,281,612.25 - Step 5: Solve for x
x = 98,865,281,612.25/210,114 - Step 6: Final answer
x = 470,531.62
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.