Finding the Third Proportional to 458 and 784
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Solution
The third proportional to 458 and 784 is: 1,342.04
Step by Step Solution
- Step 1: Write the proportion equation
458 : 784 = 784 : x - Step 2: Convert to fraction form
458/784 = 784/x - Step 3: Cross multiply
458x = 784 × 784 - Step 4: Simplify right side
458x = 614,656 - Step 5: Solve for x
x = 614,656/458 - Step 6: Final answer
x = 1,342.04
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These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.