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Finding the Third Proportional to 3,534,273 and 5,440,405.50

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Solution

The third proportional to 3,534,273 and 5,440,405.50 is: 8,374,568.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534,273 : 5,440,405.50 = 5,440,405.50 : x
  2. Step 2: Convert to fraction form
    3,534,273/5,440,405.50 = 5,440,405.50/x
  3. Step 3: Cross multiply
    3,534,273x = 5,440,405.50 × 5,440,405.50
  4. Step 4: Simplify right side
    3,534,273x = 29,598,012,004,430.25
  5. Step 5: Solve for x
    x = 29,598,012,004,430.25/3,534,273
  6. Step 6: Final answer
    x = 8,374,568.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.