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Finding the Third Proportional to 305,931 and 656,147

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Solution

The third proportional to 305,931 and 656,147 is: 1,407,274.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,931 : 656,147 = 656,147 : x
  2. Step 2: Convert to fraction form
    305,931/656,147 = 656,147/x
  3. Step 3: Cross multiply
    305,931x = 656,147 × 656,147
  4. Step 4: Simplify right side
    305,931x = 430,528,885,609
  5. Step 5: Solve for x
    x = 430,528,885,609/305,931
  6. Step 6: Final answer
    x = 1,407,274.47

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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.