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Finding the Third Proportional to 105,382 and 201,044

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Solution

The third proportional to 105,382 and 201,044 is: 383,544.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,382 : 201,044 = 201,044 : x
  2. Step 2: Convert to fraction form
    105,382/201,044 = 201,044/x
  3. Step 3: Cross multiply
    105,382x = 201,044 × 201,044
  4. Step 4: Simplify right side
    105,382x = 40,418,689,936
  5. Step 5: Solve for x
    x = 40,418,689,936/105,382
  6. Step 6: Final answer
    x = 383,544.53

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.