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Finding the Third Proportional to 475,222 and 628,157

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Solution

The third proportional to 475,222 and 628,157 is: 830,309.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,222 : 628,157 = 628,157 : x
  2. Step 2: Convert to fraction form
    475,222/628,157 = 628,157/x
  3. Step 3: Cross multiply
    475,222x = 628,157 × 628,157
  4. Step 4: Simplify right side
    475,222x = 394,581,216,649
  5. Step 5: Solve for x
    x = 394,581,216,649/475,222
  6. Step 6: Final answer
    x = 830,309.24

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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.