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Finding the Third Proportional to 305,941.86 and 653,921.54

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Solution

The third proportional to 305,941.86 and 653,921.54 is: 1,397,694.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,941.86 : 653,921.54 = 653,921.54 : x
  2. Step 2: Convert to fraction form
    305,941.86/653,921.54 = 653,921.54/x
  3. Step 3: Cross multiply
    305,941.86x = 653,921.54 × 653,921.54
  4. Step 4: Simplify right side
    305,941.86x = 427,613,384,358.63
  5. Step 5: Solve for x
    x = 427,613,384,358.63/305,941.86
  6. Step 6: Final answer
    x = 1,397,694.90

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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.