Finding the Third Proportional to 468 and 707.50
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Solution
The third proportional to 468 and 707.50 is: 1,069.56
Step by Step Solution
- Step 1: Write the proportion equation
468 : 707.50 = 707.50 : x - Step 2: Convert to fraction form
468/707.50 = 707.50/x - Step 3: Cross multiply
468x = 707.50 × 707.50 - Step 4: Simplify right side
468x = 500,556.25 - Step 5: Solve for x
x = 500,556.25/468 - Step 6: Final answer
x = 1,069.56
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.