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Finding the Third Proportional to 8,420,394 and 18,256,860

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Solution

The third proportional to 8,420,394 and 18,256,860 is: 39,584,007.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420,394 : 18,256,860 = 18,256,860 : x
  2. Step 2: Convert to fraction form
    8,420,394/18,256,860 = 18,256,860/x
  3. Step 3: Cross multiply
    8,420,394x = 18,256,860 × 18,256,860
  4. Step 4: Simplify right side
    8,420,394x = 333,312,937,059,600
  5. Step 5: Solve for x
    x = 333,312,937,059,600/8,420,394
  6. Step 6: Final answer
    x = 39,584,007.24

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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.