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Finding the Third Proportional to 312,927 and 470,849

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Solution

The third proportional to 312,927 and 470,849 is: 708,468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,927 : 470,849 = 470,849 : x
  2. Step 2: Convert to fraction form
    312,927/470,849 = 470,849/x
  3. Step 3: Cross multiply
    312,927x = 470,849 × 470,849
  4. Step 4: Simplify right side
    312,927x = 221,698,780,801
  5. Step 5: Solve for x
    x = 221,698,780,801/312,927
  6. Step 6: Final answer
    x = 708,468.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.