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Finding the Third Proportional to 239,964 and 525,120

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Solution

The third proportional to 239,964 and 525,120 is: 1,149,134.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,964 : 525,120 = 525,120 : x
  2. Step 2: Convert to fraction form
    239,964/525,120 = 525,120/x
  3. Step 3: Cross multiply
    239,964x = 525,120 × 525,120
  4. Step 4: Simplify right side
    239,964x = 275,751,014,400
  5. Step 5: Solve for x
    x = 275,751,014,400/239,964
  6. Step 6: Final answer
    x = 1,149,134.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.