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Finding the Third Proportional to 515,193 and 788,139

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Solution

The third proportional to 515,193 and 788,139 is: 1,205,690.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,193 : 788,139 = 788,139 : x
  2. Step 2: Convert to fraction form
    515,193/788,139 = 788,139/x
  3. Step 3: Cross multiply
    515,193x = 788,139 × 788,139
  4. Step 4: Simplify right side
    515,193x = 621,163,083,321
  5. Step 5: Solve for x
    x = 621,163,083,321/515,193
  6. Step 6: Final answer
    x = 1,205,690.07

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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.