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Finding the Third Proportional to 450,814 and 697,684

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Solution

The third proportional to 450,814 and 697,684 is: 1,079,742.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,814 : 697,684 = 697,684 : x
  2. Step 2: Convert to fraction form
    450,814/697,684 = 697,684/x
  3. Step 3: Cross multiply
    450,814x = 697,684 × 697,684
  4. Step 4: Simplify right side
    450,814x = 486,762,963,856
  5. Step 5: Solve for x
    x = 486,762,963,856/450,814
  6. Step 6: Final answer
    x = 1,079,742.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.