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Finding the Third Proportional to 13,759,540.50 and 32,130,847.50

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Solution

The third proportional to 13,759,540.50 and 32,130,847.50 is: 75,030,947.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,759,540.50 : 32,130,847.50 = 32,130,847.50 : x
  2. Step 2: Convert to fraction form
    13,759,540.50/32,130,847.50 = 32,130,847.50/x
  3. Step 3: Cross multiply
    13,759,540.50x = 32,130,847.50 × 32,130,847.50
  4. Step 4: Simplify right side
    13,759,540.50x = 1,032,391,361,068,256.25
  5. Step 5: Solve for x
    x = 1,032,391,361,068,256.25/13,759,540.50
  6. Step 6: Final answer
    x = 75,030,947.51

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.