Finding the Third Proportional to 286,005.09 and 392,175.84
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Solution
The third proportional to 286,005.09 and 392,175.84 is: 537,759.28
Step by Step Solution
- Step 1: Write the proportion equation
286,005.09 : 392,175.84 = 392,175.84 : x - Step 2: Convert to fraction form
286,005.09/392,175.84 = 392,175.84/x - Step 3: Cross multiply
286,005.09x = 392,175.84 × 392,175.84 - Step 4: Simplify right side
286,005.09x = 153,801,892,421.02 - Step 5: Solve for x
x = 153,801,892,421.02/286,005.09 - Step 6: Final answer
x = 537,759.28
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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.