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Finding the Third Proportional to 7,657,019 and 11,861,967

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Solution

The third proportional to 7,657,019 and 11,861,967 is: 18,376,114.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657,019 : 11,861,967 = 11,861,967 : x
  2. Step 2: Convert to fraction form
    7,657,019/11,861,967 = 11,861,967/x
  3. Step 3: Cross multiply
    7,657,019x = 11,861,967 × 11,861,967
  4. Step 4: Simplify right side
    7,657,019x = 140,706,261,109,089
  5. Step 5: Solve for x
    x = 140,706,261,109,089/7,657,019
  6. Step 6: Final answer
    x = 18,376,114.92

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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.