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Finding the Third Proportional to 8,407,140 and 18,103,676

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Solution

The third proportional to 8,407,140 and 18,103,676 is: 38,983,897.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407,140 : 18,103,676 = 18,103,676 : x
  2. Step 2: Convert to fraction form
    8,407,140/18,103,676 = 18,103,676/x
  3. Step 3: Cross multiply
    8,407,140x = 18,103,676 × 18,103,676
  4. Step 4: Simplify right side
    8,407,140x = 327,743,084,712,976
  5. Step 5: Solve for x
    x = 327,743,084,712,976/8,407,140
  6. Step 6: Final answer
    x = 38,983,897.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.