Finding the Third Proportional to 408,467.81 and 539,346.09
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Solution
The third proportional to 408,467.81 and 539,346.09 is: 712,159.44
Step by Step Solution
- Step 1: Write the proportion equation
408,467.81 : 539,346.09 = 539,346.09 : x - Step 2: Convert to fraction form
408,467.81/539,346.09 = 539,346.09/x - Step 3: Cross multiply
408,467.81x = 539,346.09 × 539,346.09 - Step 4: Simplify right side
408,467.81x = 290,894,208,843.38 - Step 5: Solve for x
x = 290,894,208,843.38/408,467.81 - Step 6: Final answer
x = 712,159.44
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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.