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Finding the Third Proportional to 109,842 and 239,820

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Solution

The third proportional to 109,842 and 239,820 is: 523,603.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,842 : 239,820 = 239,820 : x
  2. Step 2: Convert to fraction form
    109,842/239,820 = 239,820/x
  3. Step 3: Cross multiply
    109,842x = 239,820 × 239,820
  4. Step 4: Simplify right side
    109,842x = 57,513,632,400
  5. Step 5: Solve for x
    x = 57,513,632,400/109,842
  6. Step 6: Final answer
    x = 523,603.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.