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Finding the Third Proportional to 315,069 and 683,651

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Solution

The third proportional to 315,069 and 683,651 is: 1,483,416.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,069 : 683,651 = 683,651 : x
  2. Step 2: Convert to fraction form
    315,069/683,651 = 683,651/x
  3. Step 3: Cross multiply
    315,069x = 683,651 × 683,651
  4. Step 4: Simplify right side
    315,069x = 467,378,689,801
  5. Step 5: Solve for x
    x = 467,378,689,801/315,069
  6. Step 6: Final answer
    x = 1,483,416.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.