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Finding the Third Proportional to 377,988.19 and 816,103.69

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Solution

The third proportional to 377,988.19 and 816,103.69 is: 1,762,026.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,988.19 : 816,103.69 = 816,103.69 : x
  2. Step 2: Convert to fraction form
    377,988.19/816,103.69 = 816,103.69/x
  3. Step 3: Cross multiply
    377,988.19x = 816,103.69 × 816,103.69
  4. Step 4: Simplify right side
    377,988.19x = 666,025,228,751.10
  5. Step 5: Solve for x
    x = 666,025,228,751.10/377,988.19
  6. Step 6: Final answer
    x = 1,762,026.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.