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Finding the Third Proportional to 339,792 and 539,820

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Solution

The third proportional to 339,792 and 539,820 is: 857,600.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,792 : 539,820 = 539,820 : x
  2. Step 2: Convert to fraction form
    339,792/539,820 = 539,820/x
  3. Step 3: Cross multiply
    339,792x = 539,820 × 539,820
  4. Step 4: Simplify right side
    339,792x = 291,405,632,400
  5. Step 5: Solve for x
    x = 291,405,632,400/339,792
  6. Step 6: Final answer
    x = 857,600.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.