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Finding the Third Proportional to 74,731,749 and 105,192,911.50

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Solution

The third proportional to 74,731,749 and 105,192,911.50 is: 148,070,248.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,731,749 : 105,192,911.50 = 105,192,911.50 : x
  2. Step 2: Convert to fraction form
    74,731,749/105,192,911.50 = 105,192,911.50/x
  3. Step 3: Cross multiply
    74,731,749x = 105,192,911.50 × 105,192,911.50
  4. Step 4: Simplify right side
    74,731,749x = 11,065,548,629,846,832
  5. Step 5: Solve for x
    x = 11,065,548,629,846,832/74,731,749
  6. Step 6: Final answer
    x = 148,070,248.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.