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Finding the Third Proportional to 312,927 and 470,847

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Solution

The third proportional to 312,927 and 470,847 is: 708,462.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,927 : 470,847 = 470,847 : x
  2. Step 2: Convert to fraction form
    312,927/470,847 = 470,847/x
  3. Step 3: Cross multiply
    312,927x = 470,847 × 470,847
  4. Step 4: Simplify right side
    312,927x = 221,696,897,409
  5. Step 5: Solve for x
    x = 221,696,897,409/312,927
  6. Step 6: Final answer
    x = 708,462.03

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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.