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Finding the Third Proportional to 20,516,634 and 31,198,158.75

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Solution

The third proportional to 20,516,634 and 31,198,158.75 is: 47,440,779.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,516,634 : 31,198,158.75 = 31,198,158.75 : x
  2. Step 2: Convert to fraction form
    20,516,634/31,198,158.75 = 31,198,158.75/x
  3. Step 3: Cross multiply
    20,516,634x = 31,198,158.75 × 31,198,158.75
  4. Step 4: Simplify right side
    20,516,634x = 973,325,109,390,201.50
  5. Step 5: Solve for x
    x = 973,325,109,390,201.50/20,516,634
  6. Step 6: Final answer
    x = 47,440,779.49

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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.