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Finding the Third Proportional to 412,430 and 627,285

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Solution

The third proportional to 412,430 and 627,285 is: 954,068.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,430 : 627,285 = 627,285 : x
  2. Step 2: Convert to fraction form
    412,430/627,285 = 627,285/x
  3. Step 3: Cross multiply
    412,430x = 627,285 × 627,285
  4. Step 4: Simplify right side
    412,430x = 393,486,471,225
  5. Step 5: Solve for x
    x = 393,486,471,225/412,430
  6. Step 6: Final answer
    x = 954,068.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.