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Finding the Third Proportional to 461,949 and 686,175

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Solution

The third proportional to 461,949 and 686,175 is: 1,019,238.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,949 : 686,175 = 686,175 : x
  2. Step 2: Convert to fraction form
    461,949/686,175 = 686,175/x
  3. Step 3: Cross multiply
    461,949x = 686,175 × 686,175
  4. Step 4: Simplify right side
    461,949x = 470,836,130,625
  5. Step 5: Solve for x
    x = 470,836,130,625/461,949
  6. Step 6: Final answer
    x = 1,019,238.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.