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Finding the Third Proportional to 438,628 and 656,170

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Solution

The third proportional to 438,628 and 656,170 is: 981,604.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,628 : 656,170 = 656,170 : x
  2. Step 2: Convert to fraction form
    438,628/656,170 = 656,170/x
  3. Step 3: Cross multiply
    438,628x = 656,170 × 656,170
  4. Step 4: Simplify right side
    438,628x = 430,559,068,900
  5. Step 5: Solve for x
    x = 430,559,068,900/438,628
  6. Step 6: Final answer
    x = 981,604.16

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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.