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Finding the Third Proportional to 520,969 and 786,999

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Solution

The third proportional to 520,969 and 786,999 is: 1,188,875.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,969 : 786,999 = 786,999 : x
  2. Step 2: Convert to fraction form
    520,969/786,999 = 786,999/x
  3. Step 3: Cross multiply
    520,969x = 786,999 × 786,999
  4. Step 4: Simplify right side
    520,969x = 619,367,426,001
  5. Step 5: Solve for x
    x = 619,367,426,001/520,969
  6. Step 6: Final answer
    x = 1,188,875.78

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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.