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Finding the Third Proportional to 791,109 and 1,171,867.50

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Solution

The third proportional to 791,109 and 1,171,867.50 is: 1,735,883.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,109 : 1,171,867.50 = 1,171,867.50 : x
  2. Step 2: Convert to fraction form
    791,109/1,171,867.50 = 1,171,867.50/x
  3. Step 3: Cross multiply
    791,109x = 1,171,867.50 × 1,171,867.50
  4. Step 4: Simplify right side
    791,109x = 1,373,273,437,556.25
  5. Step 5: Solve for x
    x = 1,373,273,437,556.25/791,109
  6. Step 6: Final answer
    x = 1,735,883.98

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.