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Finding the Third Proportional to 387,824 and 837,907

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Solution

The third proportional to 387,824 and 837,907 is: 1,810,326.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,824 : 837,907 = 837,907 : x
  2. Step 2: Convert to fraction form
    387,824/837,907 = 837,907/x
  3. Step 3: Cross multiply
    387,824x = 837,907 × 837,907
  4. Step 4: Simplify right side
    387,824x = 702,088,140,649
  5. Step 5: Solve for x
    x = 702,088,140,649/387,824
  6. Step 6: Final answer
    x = 1,810,326.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.