Finding the Third Proportional to 330,980,343,207 and 473,302,454,433
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Solution
The third proportional to 330,980,343,207 and 473,302,454,433 is: 676,823,315,855.35
Step by Step Solution
- Step 1: Write the proportion equation
330,980,343,207 : 473,302,454,433 = 473,302,454,433 : x - Step 2: Convert to fraction form
330,980,343,207/473,302,454,433 = 473,302,454,433/x - Step 3: Cross multiply
330,980,343,207x = 473,302,454,433 × 473,302,454,433 - Step 4: Simplify right side
330,980,343,207x = 224,015,213,372,302,025,555,968 - Step 5: Solve for x
x = 224,015,213,372,302,025,555,968/330,980,343,207 - Step 6: Final answer
x = 676,823,315,855.35
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Why These Related Problems?
These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.