Finding the Third Proportional to 320,355 and 431,547.75
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Solution
The third proportional to 320,355 and 431,547.75 is: 581,334.65
Step by Step Solution
- Step 1: Write the proportion equation
320,355 : 431,547.75 = 431,547.75 : x - Step 2: Convert to fraction form
320,355/431,547.75 = 431,547.75/x - Step 3: Cross multiply
320,355x = 431,547.75 × 431,547.75 - Step 4: Simplify right side
320,355x = 186,233,460,530.06 - Step 5: Solve for x
x = 186,233,460,530.06/320,355 - Step 6: Final answer
x = 581,334.65
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.