Finding the Third Proportional to 42,126 and 61,461
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Solution
The third proportional to 42,126 and 61,461 is: 89,670.38
Step by Step Solution
- Step 1: Write the proportion equation
42,126 : 61,461 = 61,461 : x - Step 2: Convert to fraction form
42,126/61,461 = 61,461/x - Step 3: Cross multiply
42,126x = 61,461 × 61,461 - Step 4: Simplify right side
42,126x = 3,777,454,521 - Step 5: Solve for x
x = 3,777,454,521/42,126 - Step 6: Final answer
x = 89,670.38
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.