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Finding the Third Proportional to 80,867,256 and 115,640,988

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Solution

The third proportional to 80,867,256 and 115,640,988 is: 165,367,773.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,867,256 : 115,640,988 = 115,640,988 : x
  2. Step 2: Convert to fraction form
    80,867,256/115,640,988 = 115,640,988/x
  3. Step 3: Cross multiply
    80,867,256x = 115,640,988 × 115,640,988
  4. Step 4: Simplify right side
    80,867,256x = 13,372,838,105,616,144
  5. Step 5: Solve for x
    x = 13,372,838,105,616,144/80,867,256
  6. Step 6: Final answer
    x = 165,367,773.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.