Finding the Third Proportional to 111,848,747,376 and 245,351,988,253.50
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Solution
The third proportional to 111,848,747,376 and 245,351,988,253.50 is: 538,205,384,970.30
Step by Step Solution
- Step 1: Write the proportion equation
111,848,747,376 : 245,351,988,253.50 = 245,351,988,253.50 : x - Step 2: Convert to fraction form
111,848,747,376/245,351,988,253.50 = 245,351,988,253.50/x - Step 3: Cross multiply
111,848,747,376x = 245,351,988,253.50 × 245,351,988,253.50 - Step 4: Simplify right side
111,848,747,376x = 60,197,598,139,945,601,466,368 - Step 5: Solve for x
x = 60,197,598,139,945,601,466,368/111,848,747,376 - Step 6: Final answer
x = 538,205,384,970.30
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.