Finding the Third Proportional to 415,842.75 and 906,315.75
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Solution
The third proportional to 415,842.75 and 906,315.75 is: 1,975,285.70
Step by Step Solution
- Step 1: Write the proportion equation
415,842.75 : 906,315.75 = 906,315.75 : x - Step 2: Convert to fraction form
415,842.75/906,315.75 = 906,315.75/x - Step 3: Cross multiply
415,842.75x = 906,315.75 × 906,315.75 - Step 4: Simplify right side
415,842.75x = 821,408,238,698.06 - Step 5: Solve for x
x = 821,408,238,698.06/415,842.75 - Step 6: Final answer
x = 1,975,285.70
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.