Finding the Third Proportional to 306,264,270 and 459,620,397
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Solution
The third proportional to 306,264,270 and 459,620,397 is: 689,766,747.32
Step by Step Solution
- Step 1: Write the proportion equation
306,264,270 : 459,620,397 = 459,620,397 : x - Step 2: Convert to fraction form
306,264,270/459,620,397 = 459,620,397/x - Step 3: Cross multiply
306,264,270x = 459,620,397 × 459,620,397 - Step 4: Simplify right side
306,264,270x = 211,250,909,338,437,600 - Step 5: Solve for x
x = 211,250,909,338,437,600/306,264,270 - Step 6: Final answer
x = 689,766,747.32
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.