Finding the Third Proportional to 830,638 and 1,301,316
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Solution
The third proportional to 830,638 and 1,301,316 is: 2,038,701.98
Step by Step Solution
- Step 1: Write the proportion equation
830,638 : 1,301,316 = 1,301,316 : x - Step 2: Convert to fraction form
830,638/1,301,316 = 1,301,316/x - Step 3: Cross multiply
830,638x = 1,301,316 × 1,301,316 - Step 4: Simplify right side
830,638x = 1,693,423,331,856 - Step 5: Solve for x
x = 1,693,423,331,856/830,638 - Step 6: Final answer
x = 2,038,701.98
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.