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Finding the Third Proportional to 689,100 and 1,461,684

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Solution

The third proportional to 689,100 and 1,461,684 is: 3,100,450.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,100 : 1,461,684 = 1,461,684 : x
  2. Step 2: Convert to fraction form
    689,100/1,461,684 = 1,461,684/x
  3. Step 3: Cross multiply
    689,100x = 1,461,684 × 1,461,684
  4. Step 4: Simplify right side
    689,100x = 2,136,520,115,856
  5. Step 5: Solve for x
    x = 2,136,520,115,856/689,100
  6. Step 6: Final answer
    x = 3,100,450.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.