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Finding the Third Proportional to 194,063,811 and 420,871,115

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Solution

The third proportional to 194,063,811 and 420,871,115 is: 912,753,874.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,063,811 : 420,871,115 = 420,871,115 : x
  2. Step 2: Convert to fraction form
    194,063,811/420,871,115 = 420,871,115/x
  3. Step 3: Cross multiply
    194,063,811x = 420,871,115 × 420,871,115
  4. Step 4: Simplify right side
    194,063,811x = 177,132,495,441,343,232
  5. Step 5: Solve for x
    x = 177,132,495,441,343,232/194,063,811
  6. Step 6: Final answer
    x = 912,753,874.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.