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Finding the Third Proportional to 30,333,847 and 64,919,220

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Solution

The third proportional to 30,333,847 and 64,919,220 is: 138,937,376.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,333,847 : 64,919,220 = 64,919,220 : x
  2. Step 2: Convert to fraction form
    30,333,847/64,919,220 = 64,919,220/x
  3. Step 3: Cross multiply
    30,333,847x = 64,919,220 × 64,919,220
  4. Step 4: Simplify right side
    30,333,847x = 4,214,505,125,408,400
  5. Step 5: Solve for x
    x = 4,214,505,125,408,400/30,333,847
  6. Step 6: Final answer
    x = 138,937,376.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.