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Finding the Third Proportional to 81,915,066 and 175,986,549

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Solution

The third proportional to 81,915,066 and 175,986,549 is: 378,089,977.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,915,066 : 175,986,549 = 175,986,549 : x
  2. Step 2: Convert to fraction form
    81,915,066/175,986,549 = 175,986,549/x
  3. Step 3: Cross multiply
    81,915,066x = 175,986,549 × 175,986,549
  4. Step 4: Simplify right side
    81,915,066x = 30,971,265,428,929,400
  5. Step 5: Solve for x
    x = 30,971,265,428,929,400/81,915,066
  6. Step 6: Final answer
    x = 378,089,977.11

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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.