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Finding the Third Proportional to 8,109,637 and 11,337,769.50

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Solution

The third proportional to 8,109,637 and 11,337,769.50 is: 15,850,896.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109,637 : 11,337,769.50 = 11,337,769.50 : x
  2. Step 2: Convert to fraction form
    8,109,637/11,337,769.50 = 11,337,769.50/x
  3. Step 3: Cross multiply
    8,109,637x = 11,337,769.50 × 11,337,769.50
  4. Step 4: Simplify right side
    8,109,637x = 128,545,017,235,130.25
  5. Step 5: Solve for x
    x = 128,545,017,235,130.25/8,109,637
  6. Step 6: Final answer
    x = 15,850,896.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.