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Finding the Third Proportional to 264,600 and 399,357

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Solution

The third proportional to 264,600 and 399,357 is: 602,743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,600 : 399,357 = 399,357 : x
  2. Step 2: Convert to fraction form
    264,600/399,357 = 399,357/x
  3. Step 3: Cross multiply
    264,600x = 399,357 × 399,357
  4. Step 4: Simplify right side
    264,600x = 159,486,013,449
  5. Step 5: Solve for x
    x = 159,486,013,449/264,600
  6. Step 6: Final answer
    x = 602,743.82

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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.