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Finding the Third Proportional to 126,442,976,342 and 273,038,770,324

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Solution

The third proportional to 126,442,976,342 and 273,038,770,324 is: 589,595,185,567.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,442,976,342 : 273,038,770,324 = 273,038,770,324 : x
  2. Step 2: Convert to fraction form
    126,442,976,342/273,038,770,324 = 273,038,770,324/x
  3. Step 3: Cross multiply
    126,442,976,342x = 273,038,770,324 × 273,038,770,324
  4. Step 4: Simplify right side
    126,442,976,342x = 74,550,170,100,042,020,421,632
  5. Step 5: Solve for x
    x = 74,550,170,100,042,020,421,632/126,442,976,342
  6. Step 6: Final answer
    x = 589,595,185,567.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.