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Finding the Third Proportional to 144,358 and 321,524

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Solution

The third proportional to 144,358 and 321,524 is: 716,120.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,358 : 321,524 = 321,524 : x
  2. Step 2: Convert to fraction form
    144,358/321,524 = 321,524/x
  3. Step 3: Cross multiply
    144,358x = 321,524 × 321,524
  4. Step 4: Simplify right side
    144,358x = 103,377,682,576
  5. Step 5: Solve for x
    x = 103,377,682,576/144,358
  6. Step 6: Final answer
    x = 716,120.22

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.