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Finding the Third Proportional to 636,480 and 892,224

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Solution

The third proportional to 636,480 and 892,224 is: 1,250,728.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,480 : 892,224 = 892,224 : x
  2. Step 2: Convert to fraction form
    636,480/892,224 = 892,224/x
  3. Step 3: Cross multiply
    636,480x = 892,224 × 892,224
  4. Step 4: Simplify right side
    636,480x = 796,063,666,176
  5. Step 5: Solve for x
    x = 796,063,666,176/636,480
  6. Step 6: Final answer
    x = 1,250,728.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.