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Finding the Third Proportional to 34,111,809 and 74,200,354.75

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Solution

The third proportional to 34,111,809 and 74,200,354.75 is: 161,401,368.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,111,809 : 74,200,354.75 = 74,200,354.75 : x
  2. Step 2: Convert to fraction form
    34,111,809/74,200,354.75 = 74,200,354.75/x
  3. Step 3: Cross multiply
    34,111,809x = 74,200,354.75 × 74,200,354.75
  4. Step 4: Simplify right side
    34,111,809x = 5,505,692,645,025,848
  5. Step 5: Solve for x
    x = 5,505,692,645,025,848/34,111,809
  6. Step 6: Final answer
    x = 161,401,368.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.