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Finding the Third Proportional to 115,618,509 and 166,184,379

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Solution

The third proportional to 115,618,509 and 166,184,379 is: 238,865,282.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,618,509 : 166,184,379 = 166,184,379 : x
  2. Step 2: Convert to fraction form
    115,618,509/166,184,379 = 166,184,379/x
  3. Step 3: Cross multiply
    115,618,509x = 166,184,379 × 166,184,379
  4. Step 4: Simplify right side
    115,618,509x = 27,617,247,823,615,640
  5. Step 5: Solve for x
    x = 27,617,247,823,615,640/115,618,509
  6. Step 6: Final answer
    x = 238,865,282.58

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.