Finding the Third Proportional to 286,908.19 and 442,706.06
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Solution
The third proportional to 286,908.19 and 442,706.06 is: 683,105.84
Step by Step Solution
- Step 1: Write the proportion equation
286,908.19 : 442,706.06 = 442,706.06 : x - Step 2: Convert to fraction form
286,908.19/442,706.06 = 442,706.06/x - Step 3: Cross multiply
286,908.19x = 442,706.06 × 442,706.06 - Step 4: Simplify right side
286,908.19x = 195,988,657,774.25 - Step 5: Solve for x
x = 195,988,657,774.25/286,908.19 - Step 6: Final answer
x = 683,105.84
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.