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Finding the Third Proportional to 34,100,078 and 73,051,998

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Solution

The third proportional to 34,100,078 and 73,051,998 is: 156,498,011.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,100,078 : 73,051,998 = 73,051,998 : x
  2. Step 2: Convert to fraction form
    34,100,078/73,051,998 = 73,051,998/x
  3. Step 3: Cross multiply
    34,100,078x = 73,051,998 × 73,051,998
  4. Step 4: Simplify right side
    34,100,078x = 5,336,594,411,792,004
  5. Step 5: Solve for x
    x = 5,336,594,411,792,004/34,100,078
  6. Step 6: Final answer
    x = 156,498,011.88

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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.