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Finding the Third Proportional to 267,712 and 430,512

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Solution

The third proportional to 267,712 and 430,512 is: 692,313.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,712 : 430,512 = 430,512 : x
  2. Step 2: Convert to fraction form
    267,712/430,512 = 430,512/x
  3. Step 3: Cross multiply
    267,712x = 430,512 × 430,512
  4. Step 4: Simplify right side
    267,712x = 185,340,582,144
  5. Step 5: Solve for x
    x = 185,340,582,144/267,712
  6. Step 6: Final answer
    x = 692,313.31

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.