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Finding the Third Proportional to 80,867,072 and 190,899,712

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Solution

The third proportional to 80,867,072 and 190,899,712 is: 450,649,431.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,867,072 : 190,899,712 = 190,899,712 : x
  2. Step 2: Convert to fraction form
    80,867,072/190,899,712 = 190,899,712/x
  3. Step 3: Cross multiply
    80,867,072x = 190,899,712 × 190,899,712
  4. Step 4: Simplify right side
    80,867,072x = 36,442,700,041,682,944
  5. Step 5: Solve for x
    x = 36,442,700,041,682,944/80,867,072
  6. Step 6: Final answer
    x = 450,649,431.72

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.