Finding the Third Proportional to 72,846 and 98,406
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Solution
The third proportional to 72,846 and 98,406 is: 132,934.42
Step by Step Solution
- Step 1: Write the proportion equation
72,846 : 98,406 = 98,406 : x - Step 2: Convert to fraction form
72,846/98,406 = 98,406/x - Step 3: Cross multiply
72,846x = 98,406 × 98,406 - Step 4: Simplify right side
72,846x = 9,683,740,836 - Step 5: Solve for x
x = 9,683,740,836/72,846 - Step 6: Final answer
x = 132,934.42
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.