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Finding the Third Proportional to 81,877,738 and 178,104,356

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Solution

The third proportional to 81,877,738 and 178,104,356 is: 387,421,079.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,877,738 : 178,104,356 = 178,104,356 : x
  2. Step 2: Convert to fraction form
    81,877,738/178,104,356 = 178,104,356/x
  3. Step 3: Cross multiply
    81,877,738x = 178,104,356 × 178,104,356
  4. Step 4: Simplify right side
    81,877,738x = 31,721,161,626,174,736
  5. Step 5: Solve for x
    x = 31,721,161,626,174,736/81,877,738
  6. Step 6: Final answer
    x = 387,421,079.29

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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.