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Finding the Third Proportional to 13,133,619 and 20,980,930.50

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Solution

The third proportional to 13,133,619 and 20,980,930.50 is: 33,516,995.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133,619 : 20,980,930.50 = 20,980,930.50 : x
  2. Step 2: Convert to fraction form
    13,133,619/20,980,930.50 = 20,980,930.50/x
  3. Step 3: Cross multiply
    13,133,619x = 20,980,930.50 × 20,980,930.50
  4. Step 4: Simplify right side
    13,133,619x = 440,199,444,645,830.25
  5. Step 5: Solve for x
    x = 440,199,444,645,830.25/13,133,619
  6. Step 6: Final answer
    x = 33,516,995.17

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.