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Finding the Third Proportional to 430,112 and 667,344

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Solution

The third proportional to 430,112 and 667,344 is: 1,035,423.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,112 : 667,344 = 667,344 : x
  2. Step 2: Convert to fraction form
    430,112/667,344 = 667,344/x
  3. Step 3: Cross multiply
    430,112x = 667,344 × 667,344
  4. Step 4: Simplify right side
    430,112x = 445,348,014,336
  5. Step 5: Solve for x
    x = 445,348,014,336/430,112
  6. Step 6: Final answer
    x = 1,035,423.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.