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Finding the Third Proportional to 312,100 and 471,430

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Solution

The third proportional to 312,100 and 471,430 is: 712,099.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,100 : 471,430 = 471,430 : x
  2. Step 2: Convert to fraction form
    312,100/471,430 = 471,430/x
  3. Step 3: Cross multiply
    312,100x = 471,430 × 471,430
  4. Step 4: Simplify right side
    312,100x = 222,246,244,900
  5. Step 5: Solve for x
    x = 222,246,244,900/312,100
  6. Step 6: Final answer
    x = 712,099.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.