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Finding the Third Proportional to 6,909,868 and 14,262,320

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Solution

The third proportional to 6,909,868 and 14,262,320 is: 29,438,155.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909,868 : 14,262,320 = 14,262,320 : x
  2. Step 2: Convert to fraction form
    6,909,868/14,262,320 = 14,262,320/x
  3. Step 3: Cross multiply
    6,909,868x = 14,262,320 × 14,262,320
  4. Step 4: Simplify right side
    6,909,868x = 203,413,771,782,400
  5. Step 5: Solve for x
    x = 203,413,771,782,400/6,909,868
  6. Step 6: Final answer
    x = 29,438,155.95

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.