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Finding the Third Proportional to 100,145,095 and 213,517,980

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Solution

The third proportional to 100,145,095 and 213,517,980 is: 455,238,749.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,145,095 : 213,517,980 = 213,517,980 : x
  2. Step 2: Convert to fraction form
    100,145,095/213,517,980 = 213,517,980/x
  3. Step 3: Cross multiply
    100,145,095x = 213,517,980 × 213,517,980
  4. Step 4: Simplify right side
    100,145,095x = 45,589,927,783,280,400
  5. Step 5: Solve for x
    x = 45,589,927,783,280,400/100,145,095
  6. Step 6: Final answer
    x = 455,238,749.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.