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Finding the Third Proportional to 3,142,956 and 6,786,735

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Solution

The third proportional to 3,142,956 and 6,786,735 is: 14,654,921.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142,956 : 6,786,735 = 6,786,735 : x
  2. Step 2: Convert to fraction form
    3,142,956/6,786,735 = 6,786,735/x
  3. Step 3: Cross multiply
    3,142,956x = 6,786,735 × 6,786,735
  4. Step 4: Simplify right side
    3,142,956x = 46,059,771,960,225
  5. Step 5: Solve for x
    x = 46,059,771,960,225/3,142,956
  6. Step 6: Final answer
    x = 14,654,921.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.