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Finding the Third Proportional to 81,877,740 and 178,104,360

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Solution

The third proportional to 81,877,740 and 178,104,360 is: 387,421,087.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,877,740 : 178,104,360 = 178,104,360 : x
  2. Step 2: Convert to fraction form
    81,877,740/178,104,360 = 178,104,360/x
  3. Step 3: Cross multiply
    81,877,740x = 178,104,360 × 178,104,360
  4. Step 4: Simplify right side
    81,877,740x = 31,721,163,051,009,600
  5. Step 5: Solve for x
    x = 31,721,163,051,009,600/81,877,740
  6. Step 6: Final answer
    x = 387,421,087.23

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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.