Finding the Third Proportional to 512,455 and 1,121,443.75
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Solution
The third proportional to 512,455 and 1,121,443.75 is: 2,454,139.55
Step by Step Solution
- Step 1: Write the proportion equation
512,455 : 1,121,443.75 = 1,121,443.75 : x - Step 2: Convert to fraction form
512,455/1,121,443.75 = 1,121,443.75/x - Step 3: Cross multiply
512,455x = 1,121,443.75 × 1,121,443.75 - Step 4: Simplify right side
512,455x = 1,257,636,084,414.06 - Step 5: Solve for x
x = 1,257,636,084,414.06/512,455 - Step 6: Final answer
x = 2,454,139.55
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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.