Finding the Third Proportional to 399,064,369,405 and 826,415,817,523
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Solution
The third proportional to 399,064,369,405 and 826,415,817,523 is: 1,711,410,879,579.40
Step by Step Solution
- Step 1: Write the proportion equation
399,064,369,405 : 826,415,817,523 = 826,415,817,523 : x - Step 2: Convert to fraction form
399,064,369,405/826,415,817,523 = 826,415,817,523/x - Step 3: Cross multiply
399,064,369,405x = 826,415,817,523 × 826,415,817,523 - Step 4: Simplify right side
399,064,369,405x = 682,963,103,452,208,394,403,840 - Step 5: Solve for x
x = 682,963,103,452,208,394,403,840/399,064,369,405 - Step 6: Final answer
x = 1,711,410,879,579.40
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Why These Related Problems?
These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.