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Finding the Third Proportional to 13,208,967 and 20,207,389.50

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Solution

The third proportional to 13,208,967 and 20,207,389.50 is: 30,913,741.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,208,967 : 20,207,389.50 = 20,207,389.50 : x
  2. Step 2: Convert to fraction form
    13,208,967/20,207,389.50 = 20,207,389.50/x
  3. Step 3: Cross multiply
    13,208,967x = 20,207,389.50 × 20,207,389.50
  4. Step 4: Simplify right side
    13,208,967x = 408,338,590,404,710.25
  5. Step 5: Solve for x
    x = 408,338,590,404,710.25/13,208,967
  6. Step 6: Final answer
    x = 30,913,741.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.