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Finding the Third Proportional to 515,814 and 788,985

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Solution

The third proportional to 515,814 and 788,985 is: 1,206,825.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,814 : 788,985 = 788,985 : x
  2. Step 2: Convert to fraction form
    515,814/788,985 = 788,985/x
  3. Step 3: Cross multiply
    515,814x = 788,985 × 788,985
  4. Step 4: Simplify right side
    515,814x = 622,497,330,225
  5. Step 5: Solve for x
    x = 622,497,330,225/515,814
  6. Step 6: Final answer
    x = 1,206,825.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.