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Finding the Third Proportional to 540,992 and 783,680

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Solution

The third proportional to 540,992 and 783,680 is: 1,135,237.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,992 : 783,680 = 783,680 : x
  2. Step 2: Convert to fraction form
    540,992/783,680 = 783,680/x
  3. Step 3: Cross multiply
    540,992x = 783,680 × 783,680
  4. Step 4: Simplify right side
    540,992x = 614,154,342,400
  5. Step 5: Solve for x
    x = 614,154,342,400/540,992
  6. Step 6: Final answer
    x = 1,135,237.38

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.