Finding the Third Proportional to 432,373,678,326 and 929,818,108,472.10
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Solution
The third proportional to 432,373,678,326 and 929,818,108,472.10 is: 1,999,570,644,979.86
Step by Step Solution
- Step 1: Write the proportion equation
432,373,678,326 : 929,818,108,472.10 = 929,818,108,472.10 : x - Step 2: Convert to fraction form
432,373,678,326/929,818,108,472.10 = 929,818,108,472.10/x - Step 3: Cross multiply
432,373,678,326x = 929,818,108,472.10 × 929,818,108,472.10 - Step 4: Simplify right side
432,373,678,326x = 864,561,714,842,633,932,636,160 - Step 5: Solve for x
x = 864,561,714,842,633,932,636,160/432,373,678,326 - Step 6: Final answer
x = 1,999,570,644,979.86
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.