Finding the Third Proportional to 307,397,970 and 658,728,396
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Solution
The third proportional to 307,397,970 and 658,728,396 is: 1,411,600,407.44
Step by Step Solution
- Step 1: Write the proportion equation
307,397,970 : 658,728,396 = 658,728,396 : x - Step 2: Convert to fraction form
307,397,970/658,728,396 = 658,728,396/x - Step 3: Cross multiply
307,397,970x = 658,728,396 × 658,728,396 - Step 4: Simplify right side
307,397,970x = 433,923,099,696,732,800 - Step 5: Solve for x
x = 433,923,099,696,732,800/307,397,970 - Step 6: Final answer
x = 1,411,600,407.44
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.