Finding the Third Proportional to 864,214 and 1,352,609
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Solution
The third proportional to 864,214 and 1,352,609 is: 2,117,011.65
Step by Step Solution
- Step 1: Write the proportion equation
864,214 : 1,352,609 = 1,352,609 : x - Step 2: Convert to fraction form
864,214/1,352,609 = 1,352,609/x - Step 3: Cross multiply
864,214x = 1,352,609 × 1,352,609 - Step 4: Simplify right side
864,214x = 1,829,551,106,881 - Step 5: Solve for x
x = 1,829,551,106,881/864,214 - Step 6: Final answer
x = 2,117,011.65
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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.