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Finding the Third Proportional to 385,668 and 837,672.75

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Solution

The third proportional to 385,668 and 837,672.75 is: 1,819,429.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,668 : 837,672.75 = 837,672.75 : x
  2. Step 2: Convert to fraction form
    385,668/837,672.75 = 837,672.75/x
  3. Step 3: Cross multiply
    385,668x = 837,672.75 × 837,672.75
  4. Step 4: Simplify right side
    385,668x = 701,695,636,092.56
  5. Step 5: Solve for x
    x = 701,695,636,092.56/385,668
  6. Step 6: Final answer
    x = 1,819,429.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.