Finding the Third Proportional to 31,670 and 68,362
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Solution
The third proportional to 31,670 and 68,362 is: 147,564.35
Step by Step Solution
- Step 1: Write the proportion equation
31,670 : 68,362 = 68,362 : x - Step 2: Convert to fraction form
31,670/68,362 = 68,362/x - Step 3: Cross multiply
31,670x = 68,362 × 68,362 - Step 4: Simplify right side
31,670x = 4,673,363,044 - Step 5: Solve for x
x = 4,673,363,044/31,670 - Step 6: Final answer
x = 147,564.35
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.