Finding the Third Proportional to 286,237.13 and 442,805.06
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Solution
The third proportional to 286,237.13 and 442,805.06 is: 685,013.60
Step by Step Solution
- Step 1: Write the proportion equation
286,237.13 : 442,805.06 = 442,805.06 : x - Step 2: Convert to fraction form
286,237.13/442,805.06 = 442,805.06/x - Step 3: Cross multiply
286,237.13x = 442,805.06 × 442,805.06 - Step 4: Simplify right side
286,237.13x = 196,076,323,375.63 - Step 5: Solve for x
x = 196,076,323,375.63/286,237.13 - Step 6: Final answer
x = 685,013.60
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.