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Finding the Third Proportional to 447,120 and 656,424

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Solution

The third proportional to 447,120 and 656,424 is: 963,706.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,120 : 656,424 = 656,424 : x
  2. Step 2: Convert to fraction form
    447,120/656,424 = 656,424/x
  3. Step 3: Cross multiply
    447,120x = 656,424 × 656,424
  4. Step 4: Simplify right side
    447,120x = 430,892,467,776
  5. Step 5: Solve for x
    x = 430,892,467,776/447,120
  6. Step 6: Final answer
    x = 963,706.54

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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.