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Finding the Third Proportional to 561,104 and 812,172

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Solution

The third proportional to 561,104 and 812,172 is: 1,175,581.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,104 : 812,172 = 812,172 : x
  2. Step 2: Convert to fraction form
    561,104/812,172 = 812,172/x
  3. Step 3: Cross multiply
    561,104x = 812,172 × 812,172
  4. Step 4: Simplify right side
    561,104x = 659,623,357,584
  5. Step 5: Solve for x
    x = 659,623,357,584/561,104
  6. Step 6: Final answer
    x = 1,175,581.28

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.