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Finding the Third Proportional to 67,240 and 143,312

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Solution

The third proportional to 67,240 and 143,312 is: 305,448.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,240 : 143,312 = 143,312 : x
  2. Step 2: Convert to fraction form
    67,240/143,312 = 143,312/x
  3. Step 3: Cross multiply
    67,240x = 143,312 × 143,312
  4. Step 4: Simplify right side
    67,240x = 20,538,329,344
  5. Step 5: Solve for x
    x = 20,538,329,344/67,240
  6. Step 6: Final answer
    x = 305,448.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.