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Finding the Third Proportional to 12,997,704 and 18,170,656

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Solution

The third proportional to 12,997,704 and 18,170,656 is: 25,402,389.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997,704 : 18,170,656 = 18,170,656 : x
  2. Step 2: Convert to fraction form
    12,997,704/18,170,656 = 18,170,656/x
  3. Step 3: Cross multiply
    12,997,704x = 18,170,656 × 18,170,656
  4. Step 4: Simplify right side
    12,997,704x = 330,172,739,470,336
  5. Step 5: Solve for x
    x = 330,172,739,470,336/12,997,704
  6. Step 6: Final answer
    x = 25,402,389.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.