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Finding the Third Proportional to 14,019,489 and 20,477,785.50

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Solution

The third proportional to 14,019,489 and 20,477,785.50 is: 29,911,197.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,019,489 : 20,477,785.50 = 20,477,785.50 : x
  2. Step 2: Convert to fraction form
    14,019,489/20,477,785.50 = 20,477,785.50/x
  3. Step 3: Cross multiply
    14,019,489x = 20,477,785.50 × 20,477,785.50
  4. Step 4: Simplify right side
    14,019,489x = 419,339,698,984,010.25
  5. Step 5: Solve for x
    x = 419,339,698,984,010.25/14,019,489
  6. Step 6: Final answer
    x = 29,911,197.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.