Finding the Third Proportional to 146,678,840 and 310,842,656
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Solution
The third proportional to 146,678,840 and 310,842,656 is: 658,739,575.45
Step by Step Solution
- Step 1: Write the proportion equation
146,678,840 : 310,842,656 = 310,842,656 : x - Step 2: Convert to fraction form
146,678,840/310,842,656 = 310,842,656/x - Step 3: Cross multiply
146,678,840x = 310,842,656 × 310,842,656 - Step 4: Simplify right side
146,678,840x = 96,623,156,789,134,336 - Step 5: Solve for x
x = 96,623,156,789,134,336/146,678,840 - Step 6: Final answer
x = 658,739,575.45
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.