Finding the Third Proportional to 42,906 and 66,435
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Solution
The third proportional to 42,906 and 66,435 is: 102,866.95
Step by Step Solution
- Step 1: Write the proportion equation
42,906 : 66,435 = 66,435 : x - Step 2: Convert to fraction form
42,906/66,435 = 66,435/x - Step 3: Cross multiply
42,906x = 66,435 × 66,435 - Step 4: Simplify right side
42,906x = 4,413,609,225 - Step 5: Solve for x
x = 4,413,609,225/42,906 - Step 6: Final answer
x = 102,866.95
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.