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Finding the Third Proportional to 103,659,377 and 239,978,009

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Solution

The third proportional to 103,659,377 and 239,978,009 is: 555,564,257.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,659,377 : 239,978,009 = 239,978,009 : x
  2. Step 2: Convert to fraction form
    103,659,377/239,978,009 = 239,978,009/x
  3. Step 3: Cross multiply
    103,659,377x = 239,978,009 × 239,978,009
  4. Step 4: Simplify right side
    103,659,377x = 57,589,444,803,604,080
  5. Step 5: Solve for x
    x = 57,589,444,803,604,080/103,659,377
  6. Step 6: Final answer
    x = 555,564,257.38

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.