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Finding the Third Proportional to 821,729.81 and 1,792,929.94

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Solution

The third proportional to 821,729.81 and 1,792,929.94 is: 3,911,988.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,729.81 : 1,792,929.94 = 1,792,929.94 : x
  2. Step 2: Convert to fraction form
    821,729.81/1,792,929.94 = 1,792,929.94/x
  3. Step 3: Cross multiply
    821,729.81x = 1,792,929.94 × 1,792,929.94
  4. Step 4: Simplify right side
    821,729.81x = 3,214,597,760,783.75
  5. Step 5: Solve for x
    x = 3,214,597,760,783.75/821,729.81
  6. Step 6: Final answer
    x = 3,911,988.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.