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Finding the Third Proportional to 69,894,738 and 109,405,242

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Solution

The third proportional to 69,894,738 and 109,405,242 is: 171,250,473.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,894,738 : 109,405,242 = 109,405,242 : x
  2. Step 2: Convert to fraction form
    69,894,738/109,405,242 = 109,405,242/x
  3. Step 3: Cross multiply
    69,894,738x = 109,405,242 × 109,405,242
  4. Step 4: Simplify right side
    69,894,738x = 11,969,506,977,078,564
  5. Step 5: Solve for x
    x = 11,969,506,977,078,564/69,894,738
  6. Step 6: Final answer
    x = 171,250,473.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.