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Finding the Third Proportional to 434,858 and 665,256

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Solution

The third proportional to 434,858 and 665,256 is: 1,017,724.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,858 : 665,256 = 665,256 : x
  2. Step 2: Convert to fraction form
    434,858/665,256 = 665,256/x
  3. Step 3: Cross multiply
    434,858x = 665,256 × 665,256
  4. Step 4: Simplify right side
    434,858x = 442,565,545,536
  5. Step 5: Solve for x
    x = 442,565,545,536/434,858
  6. Step 6: Final answer
    x = 1,017,724.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.