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Finding the Third Proportional to 144,184.50 and 309,682.13

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Solution

The third proportional to 144,184.50 and 309,682.13 is: 665,140.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,184.50 : 309,682.13 = 309,682.13 : x
  2. Step 2: Convert to fraction form
    144,184.50/309,682.13 = 309,682.13/x
  3. Step 3: Cross multiply
    144,184.50x = 309,682.13 × 309,682.13
  4. Step 4: Simplify right side
    144,184.50x = 95,903,018,544.52
  5. Step 5: Solve for x
    x = 95,903,018,544.52/144,184.50
  6. Step 6: Final answer
    x = 665,140.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.