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Finding the Third Proportional to 314,967 and 682,421

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Solution

The third proportional to 314,967 and 682,421 is: 1,478,562.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,967 : 682,421 = 682,421 : x
  2. Step 2: Convert to fraction form
    314,967/682,421 = 682,421/x
  3. Step 3: Cross multiply
    314,967x = 682,421 × 682,421
  4. Step 4: Simplify right side
    314,967x = 465,698,421,241
  5. Step 5: Solve for x
    x = 465,698,421,241/314,967
  6. Step 6: Final answer
    x = 1,478,562.58

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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.