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Finding the Third Proportional to 7,681,772 and 11,893,659

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Solution

The third proportional to 7,681,772 and 11,893,659 is: 18,414,907.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681,772 : 11,893,659 = 11,893,659 : x
  2. Step 2: Convert to fraction form
    7,681,772/11,893,659 = 11,893,659/x
  3. Step 3: Cross multiply
    7,681,772x = 11,893,659 × 11,893,659
  4. Step 4: Simplify right side
    7,681,772x = 141,459,124,408,281
  5. Step 5: Solve for x
    x = 141,459,124,408,281/7,681,772
  6. Step 6: Final answer
    x = 18,414,907.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.