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Finding the Third Proportional to 411,230 and 645,245

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Solution

The third proportional to 411,230 and 645,245 is: 1,012,428.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,230 : 645,245 = 645,245 : x
  2. Step 2: Convert to fraction form
    411,230/645,245 = 645,245/x
  3. Step 3: Cross multiply
    411,230x = 645,245 × 645,245
  4. Step 4: Simplify right side
    411,230x = 416,341,110,025
  5. Step 5: Solve for x
    x = 416,341,110,025/411,230
  6. Step 6: Final answer
    x = 1,012,428.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.