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Finding the Third Proportional to 561,120 and 847,512

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Solution

The third proportional to 561,120 and 847,512 is: 1,280,076.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,120 : 847,512 = 847,512 : x
  2. Step 2: Convert to fraction form
    561,120/847,512 = 847,512/x
  3. Step 3: Cross multiply
    561,120x = 847,512 × 847,512
  4. Step 4: Simplify right side
    561,120x = 718,276,590,144
  5. Step 5: Solve for x
    x = 718,276,590,144/561,120
  6. Step 6: Final answer
    x = 1,280,076.61

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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.