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Finding the Third Proportional to 110,009,232 and 233,132,200.50

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Solution

The third proportional to 110,009,232 and 233,132,200.50 is: 494,055,107.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,009,232 : 233,132,200.50 = 233,132,200.50 : x
  2. Step 2: Convert to fraction form
    110,009,232/233,132,200.50 = 233,132,200.50/x
  3. Step 3: Cross multiply
    110,009,232x = 233,132,200.50 × 233,132,200.50
  4. Step 4: Simplify right side
    110,009,232x = 54,350,622,909,972,200
  5. Step 5: Solve for x
    x = 54,350,622,909,972,200/110,009,232
  6. Step 6: Final answer
    x = 494,055,107.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.