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Finding the Third Proportional to 8,971,807 and 19,457,990

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Solution

The third proportional to 8,971,807 and 19,457,990 is: 42,200,347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971,807 : 19,457,990 = 19,457,990 : x
  2. Step 2: Convert to fraction form
    8,971,807/19,457,990 = 19,457,990/x
  3. Step 3: Cross multiply
    8,971,807x = 19,457,990 × 19,457,990
  4. Step 4: Simplify right side
    8,971,807x = 378,613,374,840,100
  5. Step 5: Solve for x
    x = 378,613,374,840,100/8,971,807
  6. Step 6: Final answer
    x = 42,200,347.69

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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.