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Finding the Third Proportional to 618,599 and 683,723

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Solution

The third proportional to 618,599 and 683,723 is: 755,703.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,599 : 683,723 = 683,723 : x
  2. Step 2: Convert to fraction form
    618,599/683,723 = 683,723/x
  3. Step 3: Cross multiply
    618,599x = 683,723 × 683,723
  4. Step 4: Simplify right side
    618,599x = 467,477,140,729
  5. Step 5: Solve for x
    x = 467,477,140,729/618,599
  6. Step 6: Final answer
    x = 755,703.03

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.