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Finding the Third Proportional to 119,490 and 162,378

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Solution

The third proportional to 119,490 and 162,378 is: 220,659.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,490 : 162,378 = 162,378 : x
  2. Step 2: Convert to fraction form
    119,490/162,378 = 162,378/x
  3. Step 3: Cross multiply
    119,490x = 162,378 × 162,378
  4. Step 4: Simplify right side
    119,490x = 26,366,614,884
  5. Step 5: Solve for x
    x = 26,366,614,884/119,490
  6. Step 6: Final answer
    x = 220,659.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.