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Finding the Third Proportional to 267,738 and 430,470

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Solution

The third proportional to 267,738 and 430,470 is: 692,111.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,738 : 430,470 = 430,470 : x
  2. Step 2: Convert to fraction form
    267,738/430,470 = 430,470/x
  3. Step 3: Cross multiply
    267,738x = 430,470 × 430,470
  4. Step 4: Simplify right side
    267,738x = 185,304,420,900
  5. Step 5: Solve for x
    x = 185,304,420,900/267,738
  6. Step 6: Final answer
    x = 692,111.02

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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.