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Finding the Third Proportional to 420,256 and 645,932

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Solution

The third proportional to 420,256 and 645,932 is: 992,795.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,256 : 645,932 = 645,932 : x
  2. Step 2: Convert to fraction form
    420,256/645,932 = 645,932/x
  3. Step 3: Cross multiply
    420,256x = 645,932 × 645,932
  4. Step 4: Simplify right side
    420,256x = 417,228,148,624
  5. Step 5: Solve for x
    x = 417,228,148,624/420,256
  6. Step 6: Final answer
    x = 992,795.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.