Finding the Third Proportional to 982 and 1,587
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Solution
The third proportional to 982 and 1,587 is: 2,564.73
Step by Step Solution
- Step 1: Write the proportion equation
982 : 1,587 = 1,587 : x - Step 2: Convert to fraction form
982/1,587 = 1,587/x - Step 3: Cross multiply
982x = 1,587 × 1,587 - Step 4: Simplify right side
982x = 2,518,569 - Step 5: Solve for x
x = 2,518,569/982 - Step 6: Final answer
x = 2,564.73
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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.