Finding the Third Proportional to 178 and 207
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Solution
The third proportional to 178 and 207 is: 240.72
Step by Step Solution
- Step 1: Write the proportion equation
178 : 207 = 207 : x - Step 2: Convert to fraction form
178/207 = 207/x - Step 3: Cross multiply
178x = 207 × 207 - Step 4: Simplify right side
178x = 42,849 - Step 5: Solve for x
x = 42,849/178 - Step 6: Final answer
x = 240.72
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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.