Finding the Third Proportional to 709 and 1,137
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Solution
The third proportional to 709 and 1,137 is: 1,823.37
Step by Step Solution
- Step 1: Write the proportion equation
709 : 1,137 = 1,137 : x - Step 2: Convert to fraction form
709/1,137 = 1,137/x - Step 3: Cross multiply
709x = 1,137 × 1,137 - Step 4: Simplify right side
709x = 1,292,769 - Step 5: Solve for x
x = 1,292,769/709 - Step 6: Final answer
x = 1,823.37
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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.