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Finding the Third Proportional to 520,764 and 786,732

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Solution

The third proportional to 520,764 and 786,732 is: 1,188,536.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,764 : 786,732 = 786,732 : x
  2. Step 2: Convert to fraction form
    520,764/786,732 = 786,732/x
  3. Step 3: Cross multiply
    520,764x = 786,732 × 786,732
  4. Step 4: Simplify right side
    520,764x = 618,947,239,824
  5. Step 5: Solve for x
    x = 618,947,239,824/520,764
  6. Step 6: Final answer
    x = 1,188,536.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.