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Finding the Third Proportional to 81,113,592 and 180,362,496

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Solution

The third proportional to 81,113,592 and 180,362,496 is: 401,050,294.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,113,592 : 180,362,496 = 180,362,496 : x
  2. Step 2: Convert to fraction form
    81,113,592/180,362,496 = 180,362,496/x
  3. Step 3: Cross multiply
    81,113,592x = 180,362,496 × 180,362,496
  4. Step 4: Simplify right side
    81,113,592x = 32,530,629,963,350,016
  5. Step 5: Solve for x
    x = 32,530,629,963,350,016/81,113,592
  6. Step 6: Final answer
    x = 401,050,294.55

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.