Finding the Third Proportional to 849,467,853,425 and 1,820,101,464,238
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Solution
The third proportional to 849,467,853,425 and 1,820,101,464,238 is: 3,899,817,193,510.55
Step by Step Solution
- Step 1: Write the proportion equation
849,467,853,425 : 1,820,101,464,238 = 1,820,101,464,238 : x - Step 2: Convert to fraction form
849,467,853,425/1,820,101,464,238 = 1,820,101,464,238/x - Step 3: Cross multiply
849,467,853,425x = 1,820,101,464,238 × 1,820,101,464,238 - Step 4: Simplify right side
849,467,853,425x = 3,312,769,340,121,311,334,105,088 - Step 5: Solve for x
x = 3,312,769,340,121,311,334,105,088/849,467,853,425 - Step 6: Final answer
x = 3,899,817,193,510.55
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.