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Finding the Third Proportional to 7,750,289 and 12,761,661

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Solution

The third proportional to 7,750,289 and 12,761,661 is: 21,013,408.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750,289 : 12,761,661 = 12,761,661 : x
  2. Step 2: Convert to fraction form
    7,750,289/12,761,661 = 12,761,661/x
  3. Step 3: Cross multiply
    7,750,289x = 12,761,661 × 12,761,661
  4. Step 4: Simplify right side
    7,750,289x = 162,859,991,478,921
  5. Step 5: Solve for x
    x = 162,859,991,478,921/7,750,289
  6. Step 6: Final answer
    x = 21,013,408.85

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.