Finding the Third Proportional to 106,638,521,948 and 229,325,774,776
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Solution
The third proportional to 106,638,521,948 and 229,325,774,776 is: 493,164,290,126.39
Step by Step Solution
- Step 1: Write the proportion equation
106,638,521,948 : 229,325,774,776 = 229,325,774,776 : x - Step 2: Convert to fraction form
106,638,521,948/229,325,774,776 = 229,325,774,776/x - Step 3: Cross multiply
106,638,521,948x = 229,325,774,776 × 229,325,774,776 - Step 4: Simplify right side
106,638,521,948x = 52,590,310,976,612,676,403,200 - Step 5: Solve for x
x = 52,590,310,976,612,676,403,200/106,638,521,948 - Step 6: Final answer
x = 493,164,290,126.39
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.