Finding the Third Proportional to 286,354.13 and 646,963.31
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Solution
The third proportional to 286,354.13 and 646,963.31 is: 1,461,691.98
Step by Step Solution
- Step 1: Write the proportion equation
286,354.13 : 646,963.31 = 646,963.31 : x - Step 2: Convert to fraction form
286,354.13/646,963.31 = 646,963.31/x - Step 3: Cross multiply
286,354.13x = 646,963.31 × 646,963.31 - Step 4: Simplify right side
286,354.13x = 418,561,527,720.97 - Step 5: Solve for x
x = 418,561,527,720.97/286,354.13 - Step 6: Final answer
x = 1,461,691.98
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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.