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Finding the Third Proportional to 314,220 and 664,834

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Solution

The third proportional to 314,220 and 664,834 is: 1,406,671.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,220 : 664,834 = 664,834 : x
  2. Step 2: Convert to fraction form
    314,220/664,834 = 664,834/x
  3. Step 3: Cross multiply
    314,220x = 664,834 × 664,834
  4. Step 4: Simplify right side
    314,220x = 442,004,247,556
  5. Step 5: Solve for x
    x = 442,004,247,556/314,220
  6. Step 6: Final answer
    x = 1,406,671.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.