Finding the Third Proportional to 67,947 and 97,870
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Solution
The third proportional to 67,947 and 97,870 is: 140,970.71
Step by Step Solution
- Step 1: Write the proportion equation
67,947 : 97,870 = 97,870 : x - Step 2: Convert to fraction form
67,947/97,870 = 97,870/x - Step 3: Cross multiply
67,947x = 97,870 × 97,870 - Step 4: Simplify right side
67,947x = 9,578,536,900 - Step 5: Solve for x
x = 9,578,536,900/67,947 - Step 6: Final answer
x = 140,970.71
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Why These Related Problems?
These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.