Finding the Third Proportional to 25,300 and 39,742
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Solution
The third proportional to 25,300 and 39,742 is: 62,427.93
Step by Step Solution
- Step 1: Write the proportion equation
25,300 : 39,742 = 39,742 : x - Step 2: Convert to fraction form
25,300/39,742 = 39,742/x - Step 3: Cross multiply
25,300x = 39,742 × 39,742 - Step 4: Simplify right side
25,300x = 1,579,426,564 - Step 5: Solve for x
x = 1,579,426,564/25,300 - Step 6: Final answer
x = 62,427.93
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.