Finding the Third Proportional to 972 and 2,618
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Solution
The third proportional to 972 and 2,618 is: 7,051.36
Step by Step Solution
- Step 1: Write the proportion equation
972 : 2,618 = 2,618 : x - Step 2: Convert to fraction form
972/2,618 = 2,618/x - Step 3: Cross multiply
972x = 2,618 × 2,618 - Step 4: Simplify right side
972x = 6,853,924 - Step 5: Solve for x
x = 6,853,924/972 - Step 6: Final answer
x = 7,051.36
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Why These Related Problems?
These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.