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Finding the Third Proportional to 135,608,383 and 294,334,480

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Solution

The third proportional to 135,608,383 and 294,334,480 is: 638,845,358.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,608,383 : 294,334,480 = 294,334,480 : x
  2. Step 2: Convert to fraction form
    135,608,383/294,334,480 = 294,334,480/x
  3. Step 3: Cross multiply
    135,608,383x = 294,334,480 × 294,334,480
  4. Step 4: Simplify right side
    135,608,383x = 86,632,786,116,870,400
  5. Step 5: Solve for x
    x = 86,632,786,116,870,400/135,608,383
  6. Step 6: Final answer
    x = 638,845,358.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.