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Finding the Third Proportional to 377,040 and 821,818.50

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Solution

The third proportional to 377,040 and 821,818.50 is: 1,791,283.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,040 : 821,818.50 = 821,818.50 : x
  2. Step 2: Convert to fraction form
    377,040/821,818.50 = 821,818.50/x
  3. Step 3: Cross multiply
    377,040x = 821,818.50 × 821,818.50
  4. Step 4: Simplify right side
    377,040x = 675,385,646,942.25
  5. Step 5: Solve for x
    x = 675,385,646,942.25/377,040
  6. Step 6: Final answer
    x = 1,791,283.81

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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.