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Finding the Third Proportional to 252,660 and 380,015

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Solution

The third proportional to 252,660 and 380,015 is: 571,564.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,660 : 380,015 = 380,015 : x
  2. Step 2: Convert to fraction form
    252,660/380,015 = 380,015/x
  3. Step 3: Cross multiply
    252,660x = 380,015 × 380,015
  4. Step 4: Simplify right side
    252,660x = 144,411,400,225
  5. Step 5: Solve for x
    x = 144,411,400,225/252,660
  6. Step 6: Final answer
    x = 571,564.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.