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Finding the Third Proportional to 554,792 and 821,820

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Solution

The third proportional to 554,792 and 821,820 is: 1,217,371.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,792 : 821,820 = 821,820 : x
  2. Step 2: Convert to fraction form
    554,792/821,820 = 821,820/x
  3. Step 3: Cross multiply
    554,792x = 821,820 × 821,820
  4. Step 4: Simplify right side
    554,792x = 675,388,112,400
  5. Step 5: Solve for x
    x = 675,388,112,400/554,792
  6. Step 6: Final answer
    x = 1,217,371.76

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.