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Finding the Third Proportional to 126,780,192 and 190,473,120

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Solution

The third proportional to 126,780,192 and 190,473,120 is: 286,164,651.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,780,192 : 190,473,120 = 190,473,120 : x
  2. Step 2: Convert to fraction form
    126,780,192/190,473,120 = 190,473,120/x
  3. Step 3: Cross multiply
    126,780,192x = 190,473,120 × 190,473,120
  4. Step 4: Simplify right side
    126,780,192x = 36,280,009,442,534,400
  5. Step 5: Solve for x
    x = 36,280,009,442,534,400/126,780,192
  6. Step 6: Final answer
    x = 286,164,651.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.