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Finding the Third Proportional to 412,839 and 837,297

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Solution

The third proportional to 412,839 and 837,297 is: 1,698,159.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,839 : 837,297 = 837,297 : x
  2. Step 2: Convert to fraction form
    412,839/837,297 = 837,297/x
  3. Step 3: Cross multiply
    412,839x = 837,297 × 837,297
  4. Step 4: Simplify right side
    412,839x = 701,066,266,209
  5. Step 5: Solve for x
    x = 701,066,266,209/412,839
  6. Step 6: Final answer
    x = 1,698,159.01

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.