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Finding the Third Proportional to 12,619,778 and 18,923,523

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Solution

The third proportional to 12,619,778 and 18,923,523 is: 28,376,071.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,619,778 : 18,923,523 = 18,923,523 : x
  2. Step 2: Convert to fraction form
    12,619,778/18,923,523 = 18,923,523/x
  3. Step 3: Cross multiply
    12,619,778x = 18,923,523 × 18,923,523
  4. Step 4: Simplify right side
    12,619,778x = 358,099,722,731,529
  5. Step 5: Solve for x
    x = 358,099,722,731,529/12,619,778
  6. Step 6: Final answer
    x = 28,376,071.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.