Finding the Third Proportional to 4,291,970 and 6,438,467
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Solution
The third proportional to 4,291,970 and 6,438,467 is: 9,658,468.56
Step by Step Solution
- Step 1: Write the proportion equation
4,291,970 : 6,438,467 = 6,438,467 : x - Step 2: Convert to fraction form
4,291,970/6,438,467 = 6,438,467/x - Step 3: Cross multiply
4,291,970x = 6,438,467 × 6,438,467 - Step 4: Simplify right side
4,291,970x = 41,453,857,310,089 - Step 5: Solve for x
x = 41,453,857,310,089/4,291,970 - Step 6: Final answer
x = 9,658,468.56
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.