Finding the Third Proportional to 186,142,209 and 409,209,726
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Solution
The third proportional to 186,142,209 and 409,209,726 is: 899,594,996.50
Step by Step Solution
- Step 1: Write the proportion equation
186,142,209 : 409,209,726 = 409,209,726 : x - Step 2: Convert to fraction form
186,142,209/409,209,726 = 409,209,726/x - Step 3: Cross multiply
186,142,209x = 409,209,726 × 409,209,726 - Step 4: Simplify right side
186,142,209x = 167,452,599,852,995,072 - Step 5: Solve for x
x = 167,452,599,852,995,072/186,142,209 - Step 6: Final answer
x = 899,594,996.50
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.