Finding the Third Proportional to 780 and 1,407
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Solution
The third proportional to 780 and 1,407 is: 2,538.01
Step by Step Solution
- Step 1: Write the proportion equation
780 : 1,407 = 1,407 : x - Step 2: Convert to fraction form
780/1,407 = 1,407/x - Step 3: Cross multiply
780x = 1,407 × 1,407 - Step 4: Simplify right side
780x = 1,979,649 - Step 5: Solve for x
x = 1,979,649/780 - Step 6: Final answer
x = 2,538.01
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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.