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Finding the Third Proportional to 475,202 and 628,131

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Solution

The third proportional to 475,202 and 628,131 is: 830,275.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,202 : 628,131 = 628,131 : x
  2. Step 2: Convert to fraction form
    475,202/628,131 = 628,131/x
  3. Step 3: Cross multiply
    475,202x = 628,131 × 628,131
  4. Step 4: Simplify right side
    475,202x = 394,548,553,161
  5. Step 5: Solve for x
    x = 394,548,553,161/475,202
  6. Step 6: Final answer
    x = 830,275.45

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.