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Finding the Third Proportional to 315,431 and 691,929

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Solution

The third proportional to 315,431 and 691,929 is: 1,517,814.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,431 : 691,929 = 691,929 : x
  2. Step 2: Convert to fraction form
    315,431/691,929 = 691,929/x
  3. Step 3: Cross multiply
    315,431x = 691,929 × 691,929
  4. Step 4: Simplify right side
    315,431x = 478,765,741,041
  5. Step 5: Solve for x
    x = 478,765,741,041/315,431
  6. Step 6: Final answer
    x = 1,517,814.49

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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.