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Finding the Third Proportional to 30,218,967 and 64,749,741

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Solution

The third proportional to 30,218,967 and 64,749,741 is: 138,738,328.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,218,967 : 64,749,741 = 64,749,741 : x
  2. Step 2: Convert to fraction form
    30,218,967/64,749,741 = 64,749,741/x
  3. Step 3: Cross multiply
    30,218,967x = 64,749,741 × 64,749,741
  4. Step 4: Simplify right side
    30,218,967x = 4,192,528,959,567,081
  5. Step 5: Solve for x
    x = 4,192,528,959,567,081/30,218,967
  6. Step 6: Final answer
    x = 138,738,328.14

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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.