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Finding the Third Proportional to 305,906 and 656,108

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Solution

The third proportional to 305,906 and 656,108 is: 1,407,222.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,906 : 656,108 = 656,108 : x
  2. Step 2: Convert to fraction form
    305,906/656,108 = 656,108/x
  3. Step 3: Cross multiply
    305,906x = 656,108 × 656,108
  4. Step 4: Simplify right side
    305,906x = 430,477,707,664
  5. Step 5: Solve for x
    x = 430,477,707,664/305,906
  6. Step 6: Final answer
    x = 1,407,222.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.