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Finding the Third Proportional to 291,728 and 437,106

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Solution

The third proportional to 291,728 and 437,106 is: 654,930.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,728 : 437,106 = 437,106 : x
  2. Step 2: Convert to fraction form
    291,728/437,106 = 437,106/x
  3. Step 3: Cross multiply
    291,728x = 437,106 × 437,106
  4. Step 4: Simplify right side
    291,728x = 191,061,655,236
  5. Step 5: Solve for x
    x = 191,061,655,236/291,728
  6. Step 6: Final answer
    x = 654,930.81

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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.