Finding the Third Proportional to 201,625,640 and 311,392,688
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Solution
The third proportional to 201,625,640 and 311,392,688 is: 480,918,032.75
Step by Step Solution
- Step 1: Write the proportion equation
201,625,640 : 311,392,688 = 311,392,688 : x - Step 2: Convert to fraction form
201,625,640/311,392,688 = 311,392,688/x - Step 3: Cross multiply
201,625,640x = 311,392,688 × 311,392,688 - Step 4: Simplify right side
201,625,640x = 96,965,406,139,865,344 - Step 5: Solve for x
x = 96,965,406,139,865,344/201,625,640 - Step 6: Final answer
x = 480,918,032.75
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.