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Finding the Third Proportional to 439,495 and 659,120

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Solution

The third proportional to 439,495 and 659,120 is: 988,496.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,495 : 659,120 = 659,120 : x
  2. Step 2: Convert to fraction form
    439,495/659,120 = 659,120/x
  3. Step 3: Cross multiply
    439,495x = 659,120 × 659,120
  4. Step 4: Simplify right side
    439,495x = 434,439,174,400
  5. Step 5: Solve for x
    x = 434,439,174,400/439,495
  6. Step 6: Final answer
    x = 988,496.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.