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Finding the Third Proportional to 31,804,539 and 69,240,811

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Solution

The third proportional to 31,804,539 and 69,240,811 is: 150,742,317.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,804,539 : 69,240,811 = 69,240,811 : x
  2. Step 2: Convert to fraction form
    31,804,539/69,240,811 = 69,240,811/x
  3. Step 3: Cross multiply
    31,804,539x = 69,240,811 × 69,240,811
  4. Step 4: Simplify right side
    31,804,539x = 4,794,289,907,937,721
  5. Step 5: Solve for x
    x = 4,794,289,907,937,721/31,804,539
  6. Step 6: Final answer
    x = 150,742,317.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.