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Finding the Third Proportional to 531,124 and 812,170

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Solution

The third proportional to 531,124 and 812,170 is: 1,241,932.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,124 : 812,170 = 812,170 : x
  2. Step 2: Convert to fraction form
    531,124/812,170 = 812,170/x
  3. Step 3: Cross multiply
    531,124x = 812,170 × 812,170
  4. Step 4: Simplify right side
    531,124x = 659,620,108,900
  5. Step 5: Solve for x
    x = 659,620,108,900/531,124
  6. Step 6: Final answer
    x = 1,241,932.41

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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.