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Finding the Third Proportional to 319,986 and 687,457

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Solution

The third proportional to 319,986 and 687,457 is: 1,476,930.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,986 : 687,457 = 687,457 : x
  2. Step 2: Convert to fraction form
    319,986/687,457 = 687,457/x
  3. Step 3: Cross multiply
    319,986x = 687,457 × 687,457
  4. Step 4: Simplify right side
    319,986x = 472,597,126,849
  5. Step 5: Solve for x
    x = 472,597,126,849/319,986
  6. Step 6: Final answer
    x = 1,476,930.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.