Finding the Third Proportional to 77,097,340 and 105,721,310
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Solution
The third proportional to 77,097,340 and 105,721,310 is: 144,972,516.41
Step by Step Solution
- Step 1: Write the proportion equation
77,097,340 : 105,721,310 = 105,721,310 : x - Step 2: Convert to fraction form
77,097,340/105,721,310 = 105,721,310/x - Step 3: Cross multiply
77,097,340x = 105,721,310 × 105,721,310 - Step 4: Simplify right side
77,097,340x = 11,176,995,388,116,100 - Step 5: Solve for x
x = 11,176,995,388,116,100/77,097,340 - Step 6: Final answer
x = 144,972,516.41
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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.