Finding the Third Proportional to 259,284 and 423,384
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Solution
The third proportional to 259,284 and 423,384 is: 691,342.36
Step by Step Solution
- Step 1: Write the proportion equation
259,284 : 423,384 = 423,384 : x - Step 2: Convert to fraction form
259,284/423,384 = 423,384/x - Step 3: Cross multiply
259,284x = 423,384 × 423,384 - Step 4: Simplify right side
259,284x = 179,254,011,456 - Step 5: Solve for x
x = 179,254,011,456/259,284 - Step 6: Final answer
x = 691,342.36
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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.