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Finding the Third Proportional to 50,769,080 and 77,343,997

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Solution

The third proportional to 50,769,080 and 77,343,997 is: 117,829,471.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,769,080 : 77,343,997 = 77,343,997 : x
  2. Step 2: Convert to fraction form
    50,769,080/77,343,997 = 77,343,997/x
  3. Step 3: Cross multiply
    50,769,080x = 77,343,997 × 77,343,997
  4. Step 4: Simplify right side
    50,769,080x = 5,982,093,871,936,009
  5. Step 5: Solve for x
    x = 5,982,093,871,936,009/50,769,080
  6. Step 6: Final answer
    x = 117,829,471.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.