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Finding the Third Proportional to 119,690 and 155,295

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Solution

The third proportional to 119,690 and 155,295 is: 201,491.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,690 : 155,295 = 155,295 : x
  2. Step 2: Convert to fraction form
    119,690/155,295 = 155,295/x
  3. Step 3: Cross multiply
    119,690x = 155,295 × 155,295
  4. Step 4: Simplify right side
    119,690x = 24,116,537,025
  5. Step 5: Solve for x
    x = 24,116,537,025/119,690
  6. Step 6: Final answer
    x = 201,491.66

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.