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Finding the Third Proportional to 81,865,323 and 178,546,356

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Solution

The third proportional to 81,865,323 and 178,546,356 is: 389,405,429.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,865,323 : 178,546,356 = 178,546,356 : x
  2. Step 2: Convert to fraction form
    81,865,323/178,546,356 = 178,546,356/x
  3. Step 3: Cross multiply
    81,865,323x = 178,546,356 × 178,546,356
  4. Step 4: Simplify right side
    81,865,323x = 31,878,801,240,878,736
  5. Step 5: Solve for x
    x = 31,878,801,240,878,736/81,865,323
  6. Step 6: Final answer
    x = 389,405,429.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.