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Finding the Third Proportional to 128,719,431,944 and 277,111,200,016

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Solution

The third proportional to 128,719,431,944 and 277,111,200,016 is: 596,573,617,631.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,719,431,944 : 277,111,200,016 = 277,111,200,016 : x
  2. Step 2: Convert to fraction form
    128,719,431,944/277,111,200,016 = 277,111,200,016/x
  3. Step 3: Cross multiply
    128,719,431,944x = 277,111,200,016 × 277,111,200,016
  4. Step 4: Simplify right side
    128,719,431,944x = 76,790,617,174,307,564,945,408
  5. Step 5: Solve for x
    x = 76,790,617,174,307,564,945,408/128,719,431,944
  6. Step 6: Final answer
    x = 596,573,617,631.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.