Finding the Third Proportional to 42,642 and 67,473
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Solution
The third proportional to 42,642 and 67,473 is: 106,763.42
Step by Step Solution
- Step 1: Write the proportion equation
42,642 : 67,473 = 67,473 : x - Step 2: Convert to fraction form
42,642/67,473 = 67,473/x - Step 3: Cross multiply
42,642x = 67,473 × 67,473 - Step 4: Simplify right side
42,642x = 4,552,605,729 - Step 5: Solve for x
x = 4,552,605,729/42,642 - Step 6: Final answer
x = 106,763.42
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Why These Related Problems?
These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.