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Finding the Third Proportional to 239,140 and 524,720

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Solution

The third proportional to 239,140 and 524,720 is: 1,151,338.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,140 : 524,720 = 524,720 : x
  2. Step 2: Convert to fraction form
    239,140/524,720 = 524,720/x
  3. Step 3: Cross multiply
    239,140x = 524,720 × 524,720
  4. Step 4: Simplify right side
    239,140x = 275,331,078,400
  5. Step 5: Solve for x
    x = 275,331,078,400/239,140
  6. Step 6: Final answer
    x = 1,151,338.46

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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.