Finding the Third Proportional to 390,663,583,578 and 813,431,743,848
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Solution
The third proportional to 390,663,583,578 and 813,431,743,848 is: 1,693,710,982,322.69
Step by Step Solution
- Step 1: Write the proportion equation
390,663,583,578 : 813,431,743,848 = 813,431,743,848 : x - Step 2: Convert to fraction form
390,663,583,578/813,431,743,848 = 813,431,743,848/x - Step 3: Cross multiply
390,663,583,578x = 813,431,743,848 × 813,431,743,848 - Step 4: Simplify right side
390,663,583,578x = 661,671,201,899,598,313,422,848 - Step 5: Solve for x
x = 661,671,201,899,598,313,422,848/390,663,583,578 - Step 6: Final answer
x = 1,693,710,982,322.69
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.