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Finding the Third Proportional to 5,432,598 and 11,512,780

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Solution

The third proportional to 5,432,598 and 11,512,780 is: 24,397,922.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432,598 : 11,512,780 = 11,512,780 : x
  2. Step 2: Convert to fraction form
    5,432,598/11,512,780 = 11,512,780/x
  3. Step 3: Cross multiply
    5,432,598x = 11,512,780 × 11,512,780
  4. Step 4: Simplify right side
    5,432,598x = 132,544,103,328,400
  5. Step 5: Solve for x
    x = 132,544,103,328,400/5,432,598
  6. Step 6: Final answer
    x = 24,397,922.20

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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.