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Finding the Third Proportional to 29,403 and 57,847.50

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Solution

The third proportional to 29,403 and 57,847.50 is: 113,809.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,403 : 57,847.50 = 57,847.50 : x
  2. Step 2: Convert to fraction form
    29,403/57,847.50 = 57,847.50/x
  3. Step 3: Cross multiply
    29,403x = 57,847.50 × 57,847.50
  4. Step 4: Simplify right side
    29,403x = 3,346,333,256.25
  5. Step 5: Solve for x
    x = 3,346,333,256.25/29,403
  6. Step 6: Final answer
    x = 113,809.25

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.