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Finding the Third Proportional to 30,218,979 and 64,749,765

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Solution

The third proportional to 30,218,979 and 64,749,765 is: 138,738,375.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,218,979 : 64,749,765 = 64,749,765 : x
  2. Step 2: Convert to fraction form
    30,218,979/64,749,765 = 64,749,765/x
  3. Step 3: Cross multiply
    30,218,979x = 64,749,765 × 64,749,765
  4. Step 4: Simplify right side
    30,218,979x = 4,192,532,067,555,225
  5. Step 5: Solve for x
    x = 4,192,532,067,555,225/30,218,979
  6. Step 6: Final answer
    x = 138,738,375.89

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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.