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Finding the Third Proportional to 803,530 and 1,215,663

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Solution

The third proportional to 803,530 and 1,215,663 is: 1,839,180.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,530 : 1,215,663 = 1,215,663 : x
  2. Step 2: Convert to fraction form
    803,530/1,215,663 = 1,215,663/x
  3. Step 3: Cross multiply
    803,530x = 1,215,663 × 1,215,663
  4. Step 4: Simplify right side
    803,530x = 1,477,836,529,569
  5. Step 5: Solve for x
    x = 1,477,836,529,569/803,530
  6. Step 6: Final answer
    x = 1,839,180.28

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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.