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Finding the Third Proportional to 883,680 and 1,351,200

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Solution

The third proportional to 883,680 and 1,351,200 is: 2,066,066.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    883,680 : 1,351,200 = 1,351,200 : x
  2. Step 2: Convert to fraction form
    883,680/1,351,200 = 1,351,200/x
  3. Step 3: Cross multiply
    883,680x = 1,351,200 × 1,351,200
  4. Step 4: Simplify right side
    883,680x = 1,825,741,440,000
  5. Step 5: Solve for x
    x = 1,825,741,440,000/883,680
  6. Step 6: Final answer
    x = 2,066,066.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.