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Finding the Third Proportional to 470,007 and 684,906

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Solution

The third proportional to 470,007 and 684,906 is: 998,062.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,007 : 684,906 = 684,906 : x
  2. Step 2: Convert to fraction form
    470,007/684,906 = 684,906/x
  3. Step 3: Cross multiply
    470,007x = 684,906 × 684,906
  4. Step 4: Simplify right side
    470,007x = 469,096,228,836
  5. Step 5: Solve for x
    x = 469,096,228,836/470,007
  6. Step 6: Final answer
    x = 998,062.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.