Finding the Third Proportional to 78,006 and 167,681.63
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Solution
The third proportional to 78,006 and 167,681.63 is: 360,448.27
Step by Step Solution
- Step 1: Write the proportion equation
78,006 : 167,681.63 = 167,681.63 : x - Step 2: Convert to fraction form
78,006/167,681.63 = 167,681.63/x - Step 3: Cross multiply
78,006x = 167,681.63 × 167,681.63 - Step 4: Simplify right side
78,006x = 28,117,127,362.64 - Step 5: Solve for x
x = 28,117,127,362.64/78,006 - Step 6: Final answer
x = 360,448.27
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.