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Finding the Third Proportional to 149,305,480 and 231,819,120

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Solution

The third proportional to 149,305,480 and 231,819,120 is: 359,933,904.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,305,480 : 231,819,120 = 231,819,120 : x
  2. Step 2: Convert to fraction form
    149,305,480/231,819,120 = 231,819,120/x
  3. Step 3: Cross multiply
    149,305,480x = 231,819,120 × 231,819,120
  4. Step 4: Simplify right side
    149,305,480x = 53,740,104,397,574,400
  5. Step 5: Solve for x
    x = 53,740,104,397,574,400/149,305,480
  6. Step 6: Final answer
    x = 359,933,904.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.