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Finding the Third Proportional to 144,488 and 215,202

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Solution

The third proportional to 144,488 and 215,202 is: 320,524.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,488 : 215,202 = 215,202 : x
  2. Step 2: Convert to fraction form
    144,488/215,202 = 215,202/x
  3. Step 3: Cross multiply
    144,488x = 215,202 × 215,202
  4. Step 4: Simplify right side
    144,488x = 46,311,900,804
  5. Step 5: Solve for x
    x = 46,311,900,804/144,488
  6. Step 6: Final answer
    x = 320,524.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.