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Finding the Third Proportional to 315,308 and 691,936

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Solution

The third proportional to 315,308 and 691,936 is: 1,518,437.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,308 : 691,936 = 691,936 : x
  2. Step 2: Convert to fraction form
    315,308/691,936 = 691,936/x
  3. Step 3: Cross multiply
    315,308x = 691,936 × 691,936
  4. Step 4: Simplify right side
    315,308x = 478,775,428,096
  5. Step 5: Solve for x
    x = 478,775,428,096/315,308
  6. Step 6: Final answer
    x = 1,518,437.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.