Finding the Third Proportional to 142,122,449,981.50 and 316,021,451,318.50
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Solution
The third proportional to 142,122,449,981.50 and 316,021,451,318.50 is: 702,700,788,696.30
Step by Step Solution
- Step 1: Write the proportion equation
142,122,449,981.50 : 316,021,451,318.50 = 316,021,451,318.50 : x - Step 2: Convert to fraction form
142,122,449,981.50/316,021,451,318.50 = 316,021,451,318.50/x - Step 3: Cross multiply
142,122,449,981.50x = 316,021,451,318.50 × 316,021,451,318.50 - Step 4: Simplify right side
142,122,449,981.50x = 99,869,557,693,451,071,389,696 - Step 5: Solve for x
x = 99,869,557,693,451,071,389,696/142,122,449,981.50 - Step 6: Final answer
x = 702,700,788,696.30
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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.