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Finding the Third Proportional to 7,750,293 and 12,761,667

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Solution

The third proportional to 7,750,293 and 12,761,667 is: 21,013,417.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750,293 : 12,761,667 = 12,761,667 : x
  2. Step 2: Convert to fraction form
    7,750,293/12,761,667 = 12,761,667/x
  3. Step 3: Cross multiply
    7,750,293x = 12,761,667 × 12,761,667
  4. Step 4: Simplify right side
    7,750,293x = 162,860,144,618,889
  5. Step 5: Solve for x
    x = 162,860,144,618,889/7,750,293
  6. Step 6: Final answer
    x = 21,013,417.77

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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.