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Finding the Third Proportional to 312,946 and 470,916

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Solution

The third proportional to 312,946 and 470,916 is: 708,626.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,946 : 470,916 = 470,916 : x
  2. Step 2: Convert to fraction form
    312,946/470,916 = 470,916/x
  3. Step 3: Cross multiply
    312,946x = 470,916 × 470,916
  4. Step 4: Simplify right side
    312,946x = 221,761,879,056
  5. Step 5: Solve for x
    x = 221,761,879,056/312,946
  6. Step 6: Final answer
    x = 708,626.66

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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.