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Finding the Third Proportional to 140,189 and 201,511

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Solution

The third proportional to 140,189 and 201,511 is: 289,656.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,189 : 201,511 = 201,511 : x
  2. Step 2: Convert to fraction form
    140,189/201,511 = 201,511/x
  3. Step 3: Cross multiply
    140,189x = 201,511 × 201,511
  4. Step 4: Simplify right side
    140,189x = 40,606,683,121
  5. Step 5: Solve for x
    x = 40,606,683,121/140,189
  6. Step 6: Final answer
    x = 289,656.70

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.