Finding the Third Proportional to 102,386.25 and 212,946.75
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Solution
The third proportional to 102,386.25 and 212,946.75 is: 442,894.61
Step by Step Solution
- Step 1: Write the proportion equation
102,386.25 : 212,946.75 = 212,946.75 : x - Step 2: Convert to fraction form
102,386.25/212,946.75 = 212,946.75/x - Step 3: Cross multiply
102,386.25x = 212,946.75 × 212,946.75 - Step 4: Simplify right side
102,386.25x = 45,346,318,335.56 - Step 5: Solve for x
x = 45,346,318,335.56/102,386.25 - Step 6: Final answer
x = 442,894.61
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.