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Finding the Third Proportional to 338,864 and 712,672

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Solution

The third proportional to 338,864 and 712,672 is: 1,498,835.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,864 : 712,672 = 712,672 : x
  2. Step 2: Convert to fraction form
    338,864/712,672 = 712,672/x
  3. Step 3: Cross multiply
    338,864x = 712,672 × 712,672
  4. Step 4: Simplify right side
    338,864x = 507,901,379,584
  5. Step 5: Solve for x
    x = 507,901,379,584/338,864
  6. Step 6: Final answer
    x = 1,498,835.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.