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Finding the Third Proportional to 315,563 and 688,950

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Solution

The third proportional to 315,563 and 688,950 is: 1,504,143.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,563 : 688,950 = 688,950 : x
  2. Step 2: Convert to fraction form
    315,563/688,950 = 688,950/x
  3. Step 3: Cross multiply
    315,563x = 688,950 × 688,950
  4. Step 4: Simplify right side
    315,563x = 474,652,102,500
  5. Step 5: Solve for x
    x = 474,652,102,500/315,563
  6. Step 6: Final answer
    x = 1,504,143.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.