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Finding the Third Proportional to 531,120 and 812,163

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Solution

The third proportional to 531,120 and 812,163 is: 1,241,920.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,120 : 812,163 = 812,163 : x
  2. Step 2: Convert to fraction form
    531,120/812,163 = 812,163/x
  3. Step 3: Cross multiply
    531,120x = 812,163 × 812,163
  4. Step 4: Simplify right side
    531,120x = 659,608,738,569
  5. Step 5: Solve for x
    x = 659,608,738,569/531,120
  6. Step 6: Final answer
    x = 1,241,920.35

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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.