Finding the Third Proportional to 102,570 and 157,445
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Solution
The third proportional to 102,570 and 157,445 is: 241,678.15
Step by Step Solution
- Step 1: Write the proportion equation
102,570 : 157,445 = 157,445 : x - Step 2: Convert to fraction form
102,570/157,445 = 157,445/x - Step 3: Cross multiply
102,570x = 157,445 × 157,445 - Step 4: Simplify right side
102,570x = 24,788,928,025 - Step 5: Solve for x
x = 24,788,928,025/102,570 - Step 6: Final answer
x = 241,678.15
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.