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Finding the Third Proportional to 144,201 and 215,106

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Solution

The third proportional to 144,201 and 215,106 is: 320,875.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,201 : 215,106 = 215,106 : x
  2. Step 2: Convert to fraction form
    144,201/215,106 = 215,106/x
  3. Step 3: Cross multiply
    144,201x = 215,106 × 215,106
  4. Step 4: Simplify right side
    144,201x = 46,270,591,236
  5. Step 5: Solve for x
    x = 46,270,591,236/144,201
  6. Step 6: Final answer
    x = 320,875.66

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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.