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Finding the Third Proportional to 9,040,761 and 13,645,213.50

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Solution

The third proportional to 9,040,761 and 13,645,213.50 is: 20,594,710.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,040,761 : 13,645,213.50 = 13,645,213.50 : x
  2. Step 2: Convert to fraction form
    9,040,761/13,645,213.50 = 13,645,213.50/x
  3. Step 3: Cross multiply
    9,040,761x = 13,645,213.50 × 13,645,213.50
  4. Step 4: Simplify right side
    9,040,761x = 186,191,851,460,582.25
  5. Step 5: Solve for x
    x = 186,191,851,460,582.25/9,040,761
  6. Step 6: Final answer
    x = 20,594,710.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.