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Finding the Third Proportional to 177,153 and 385,410

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Solution

The third proportional to 177,153 and 385,410 is: 838,489.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,153 : 385,410 = 385,410 : x
  2. Step 2: Convert to fraction form
    177,153/385,410 = 385,410/x
  3. Step 3: Cross multiply
    177,153x = 385,410 × 385,410
  4. Step 4: Simplify right side
    177,153x = 148,540,868,100
  5. Step 5: Solve for x
    x = 148,540,868,100/177,153
  6. Step 6: Final answer
    x = 838,489.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.