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Finding the Third Proportional to 10,842,128 and 14,454,204

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Solution

The third proportional to 10,842,128 and 14,454,204 is: 19,269,650.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842,128 : 14,454,204 = 14,454,204 : x
  2. Step 2: Convert to fraction form
    10,842,128/14,454,204 = 14,454,204/x
  3. Step 3: Cross multiply
    10,842,128x = 14,454,204 × 14,454,204
  4. Step 4: Simplify right side
    10,842,128x = 208,924,013,273,616
  5. Step 5: Solve for x
    x = 208,924,013,273,616/10,842,128
  6. Step 6: Final answer
    x = 19,269,650.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.