Finding the Third Proportional to 201,497,195,106 and 440,952,218,820
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Solution
The third proportional to 201,497,195,106 and 440,952,218,820 is: 964,970,550,483.32
Step by Step Solution
- Step 1: Write the proportion equation
201,497,195,106 : 440,952,218,820 = 440,952,218,820 : x - Step 2: Convert to fraction form
201,497,195,106/440,952,218,820 = 440,952,218,820/x - Step 3: Cross multiply
201,497,195,106x = 440,952,218,820 × 440,952,218,820 - Step 4: Simplify right side
201,497,195,106x = 194,438,859,282,281,148,710,912 - Step 5: Solve for x
x = 194,438,859,282,281,148,710,912/201,497,195,106 - Step 6: Final answer
x = 964,970,550,483.32
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.