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Finding the Third Proportional to 2,078,234 and 4,319,740

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Solution

The third proportional to 2,078,234 and 4,319,740 is: 8,978,851.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078,234 : 4,319,740 = 4,319,740 : x
  2. Step 2: Convert to fraction form
    2,078,234/4,319,740 = 4,319,740/x
  3. Step 3: Cross multiply
    2,078,234x = 4,319,740 × 4,319,740
  4. Step 4: Simplify right side
    2,078,234x = 18,660,153,667,600
  5. Step 5: Solve for x
    x = 18,660,153,667,600/2,078,234
  6. Step 6: Final answer
    x = 8,978,851.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.