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Finding the Third Proportional to 451,731.50 and 665,106

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Solution

The third proportional to 451,731.50 and 665,106 is: 979,267.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,731.50 : 665,106 = 665,106 : x
  2. Step 2: Convert to fraction form
    451,731.50/665,106 = 665,106/x
  3. Step 3: Cross multiply
    451,731.50x = 665,106 × 665,106
  4. Step 4: Simplify right side
    451,731.50x = 442,365,991,236
  5. Step 5: Solve for x
    x = 442,365,991,236/451,731.50
  6. Step 6: Final answer
    x = 979,267.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.