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Finding the Third Proportional to 288,126 and 436,161

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Solution

The third proportional to 288,126 and 436,161 is: 660,254.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,126 : 436,161 = 436,161 : x
  2. Step 2: Convert to fraction form
    288,126/436,161 = 436,161/x
  3. Step 3: Cross multiply
    288,126x = 436,161 × 436,161
  4. Step 4: Simplify right side
    288,126x = 190,236,417,921
  5. Step 5: Solve for x
    x = 190,236,417,921/288,126
  6. Step 6: Final answer
    x = 660,254.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.