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Finding the Third Proportional to 5,872,128 and 12,449,920

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Solution

The third proportional to 5,872,128 and 12,449,920 is: 26,395,968.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872,128 : 12,449,920 = 12,449,920 : x
  2. Step 2: Convert to fraction form
    5,872,128/12,449,920 = 12,449,920/x
  3. Step 3: Cross multiply
    5,872,128x = 12,449,920 × 12,449,920
  4. Step 4: Simplify right side
    5,872,128x = 155,000,508,006,400
  5. Step 5: Solve for x
    x = 155,000,508,006,400/5,872,128
  6. Step 6: Final answer
    x = 26,395,968.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.