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Finding the Third Proportional to 514,102 and 768,129

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Solution

The third proportional to 514,102 and 768,129 is: 1,147,675.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,102 : 768,129 = 768,129 : x
  2. Step 2: Convert to fraction form
    514,102/768,129 = 768,129/x
  3. Step 3: Cross multiply
    514,102x = 768,129 × 768,129
  4. Step 4: Simplify right side
    514,102x = 590,022,160,641
  5. Step 5: Solve for x
    x = 590,022,160,641/514,102
  6. Step 6: Final answer
    x = 1,147,675.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.