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Finding the Third Proportional to 514,106 and 768,135

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Solution

The third proportional to 514,106 and 768,135 is: 1,147,684.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,106 : 768,135 = 768,135 : x
  2. Step 2: Convert to fraction form
    514,106/768,135 = 768,135/x
  3. Step 3: Cross multiply
    514,106x = 768,135 × 768,135
  4. Step 4: Simplify right side
    514,106x = 590,031,378,225
  5. Step 5: Solve for x
    x = 590,031,378,225/514,106
  6. Step 6: Final answer
    x = 1,147,684.29

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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.