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Finding the Third Proportional to 7,836,356.50 and 18,438,474.50

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Solution

The third proportional to 7,836,356.50 and 18,438,474.50 is: 43,384,619.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836,356.50 : 18,438,474.50 = 18,438,474.50 : x
  2. Step 2: Convert to fraction form
    7,836,356.50/18,438,474.50 = 18,438,474.50/x
  3. Step 3: Cross multiply
    7,836,356.50x = 18,438,474.50 × 18,438,474.50
  4. Step 4: Simplify right side
    7,836,356.50x = 339,977,341,887,150.25
  5. Step 5: Solve for x
    x = 339,977,341,887,150.25/7,836,356.50
  6. Step 6: Final answer
    x = 43,384,619.10

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.