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Finding the Third Proportional to 475,220 and 628,154

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Solution

The third proportional to 475,220 and 628,154 is: 830,304.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,220 : 628,154 = 628,154 : x
  2. Step 2: Convert to fraction form
    475,220/628,154 = 628,154/x
  3. Step 3: Cross multiply
    475,220x = 628,154 × 628,154
  4. Step 4: Simplify right side
    475,220x = 394,577,447,716
  5. Step 5: Solve for x
    x = 394,577,447,716/475,220
  6. Step 6: Final answer
    x = 830,304.80

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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.