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Finding the Third Proportional to 9,809,419.50 and 21,118,017.38

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Solution

The third proportional to 9,809,419.50 and 21,118,017.38 is: 45,463,511.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809,419.50 : 21,118,017.38 = 21,118,017.38 : x
  2. Step 2: Convert to fraction form
    9,809,419.50/21,118,017.38 = 21,118,017.38/x
  3. Step 3: Cross multiply
    9,809,419.50x = 21,118,017.38 × 21,118,017.38
  4. Step 4: Simplify right side
    9,809,419.50x = 445,970,657,850,801.88
  5. Step 5: Solve for x
    x = 445,970,657,850,801.88/9,809,419.50
  6. Step 6: Final answer
    x = 45,463,511.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.