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Finding the Third Proportional to 144,222 and 215,133

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Solution

The third proportional to 144,222 and 215,133 is: 320,909.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,222 : 215,133 = 215,133 : x
  2. Step 2: Convert to fraction form
    144,222/215,133 = 215,133/x
  3. Step 3: Cross multiply
    144,222x = 215,133 × 215,133
  4. Step 4: Simplify right side
    144,222x = 46,282,207,689
  5. Step 5: Solve for x
    x = 46,282,207,689/144,222
  6. Step 6: Final answer
    x = 320,909.48

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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.