Finding the Third Proportional to 489,900 and 1,049,784
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Solution
The third proportional to 489,900 and 1,049,784 is: 2,249,533.47
Step by Step Solution
- Step 1: Write the proportion equation
489,900 : 1,049,784 = 1,049,784 : x - Step 2: Convert to fraction form
489,900/1,049,784 = 1,049,784/x - Step 3: Cross multiply
489,900x = 1,049,784 × 1,049,784 - Step 4: Simplify right side
489,900x = 1,102,046,446,656 - Step 5: Solve for x
x = 1,102,046,446,656/489,900 - Step 6: Final answer
x = 2,249,533.47
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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.