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Finding the Third Proportional to 12,838,678 and 27,699,620

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Solution

The third proportional to 12,838,678 and 27,699,620 is: 59,762,301.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838,678 : 27,699,620 = 27,699,620 : x
  2. Step 2: Convert to fraction form
    12,838,678/27,699,620 = 27,699,620/x
  3. Step 3: Cross multiply
    12,838,678x = 27,699,620 × 27,699,620
  4. Step 4: Simplify right side
    12,838,678x = 767,268,948,144,400
  5. Step 5: Solve for x
    x = 767,268,948,144,400/12,838,678
  6. Step 6: Final answer
    x = 59,762,301.71

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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.