Finding the Third Proportional to 6,430.50 and 8,115.75
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Solution
The third proportional to 6,430.50 and 8,115.75 is: 10,242.66
Step by Step Solution
- Step 1: Write the proportion equation
6,430.50 : 8,115.75 = 8,115.75 : x - Step 2: Convert to fraction form
6,430.50/8,115.75 = 8,115.75/x - Step 3: Cross multiply
6,430.50x = 8,115.75 × 8,115.75 - Step 4: Simplify right side
6,430.50x = 65,865,398.06 - Step 5: Solve for x
x = 65,865,398.06/6,430.50 - Step 6: Final answer
x = 10,242.66
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These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.