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Finding the Third Proportional to 117,390 and 247,740

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Solution

The third proportional to 117,390 and 247,740 is: 522,830.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,390 : 247,740 = 247,740 : x
  2. Step 2: Convert to fraction form
    117,390/247,740 = 247,740/x
  3. Step 3: Cross multiply
    117,390x = 247,740 × 247,740
  4. Step 4: Simplify right side
    117,390x = 61,375,107,600
  5. Step 5: Solve for x
    x = 61,375,107,600/117,390
  6. Step 6: Final answer
    x = 522,830.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.