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Finding the Third Proportional to 8,971,803 and 19,457,982

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Solution

The third proportional to 8,971,803 and 19,457,982 is: 42,200,331.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971,803 : 19,457,982 = 19,457,982 : x
  2. Step 2: Convert to fraction form
    8,971,803/19,457,982 = 19,457,982/x
  3. Step 3: Cross multiply
    8,971,803x = 19,457,982 × 19,457,982
  4. Step 4: Simplify right side
    8,971,803x = 378,613,063,512,324
  5. Step 5: Solve for x
    x = 378,613,063,512,324/8,971,803
  6. Step 6: Final answer
    x = 42,200,331.81

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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.