Finding the Third Proportional to 317 and 709
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Solution
The third proportional to 317 and 709 is: 1,585.74
Step by Step Solution
- Step 1: Write the proportion equation
317 : 709 = 709 : x - Step 2: Convert to fraction form
317/709 = 709/x - Step 3: Cross multiply
317x = 709 × 709 - Step 4: Simplify right side
317x = 502,681 - Step 5: Solve for x
x = 502,681/317 - Step 6: Final answer
x = 1,585.74
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Why These Related Problems?
These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.