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Finding the Third Proportional to 389,880 and 837,776.25

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Solution

The third proportional to 389,880 and 837,776.25 is: 1,800,218.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,880 : 837,776.25 = 837,776.25 : x
  2. Step 2: Convert to fraction form
    389,880/837,776.25 = 837,776.25/x
  3. Step 3: Cross multiply
    389,880x = 837,776.25 × 837,776.25
  4. Step 4: Simplify right side
    389,880x = 701,869,045,064.06
  5. Step 5: Solve for x
    x = 701,869,045,064.06/389,880
  6. Step 6: Final answer
    x = 1,800,218.13

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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.