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Finding the Third Proportional to 12,983,951 and 20,184,696

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Solution

The third proportional to 12,983,951 and 20,184,696 is: 31,378,888.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,983,951 : 20,184,696 = 20,184,696 : x
  2. Step 2: Convert to fraction form
    12,983,951/20,184,696 = 20,184,696/x
  3. Step 3: Cross multiply
    12,983,951x = 20,184,696 × 20,184,696
  4. Step 4: Simplify right side
    12,983,951x = 407,421,952,612,416
  5. Step 5: Solve for x
    x = 407,421,952,612,416/12,983,951
  6. Step 6: Final answer
    x = 31,378,888.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.