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Finding the Third Proportional to 515,130 and 788,009

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Solution

The third proportional to 515,130 and 788,009 is: 1,205,439.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,130 : 788,009 = 788,009 : x
  2. Step 2: Convert to fraction form
    515,130/788,009 = 788,009/x
  3. Step 3: Cross multiply
    515,130x = 788,009 × 788,009
  4. Step 4: Simplify right side
    515,130x = 620,958,184,081
  5. Step 5: Solve for x
    x = 620,958,184,081/515,130
  6. Step 6: Final answer
    x = 1,205,439.76

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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.