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Finding the Third Proportional to 137,065,277,160 and 300,608,362,116

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Solution

The third proportional to 137,065,277,160 and 300,608,362,116 is: 659,287,233,400.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,065,277,160 : 300,608,362,116 = 300,608,362,116 : x
  2. Step 2: Convert to fraction form
    137,065,277,160/300,608,362,116 = 300,608,362,116/x
  3. Step 3: Cross multiply
    137,065,277,160x = 300,608,362,116 × 300,608,362,116
  4. Step 4: Simplify right side
    137,065,277,160x = 90,365,387,374,064,188,784,640
  5. Step 5: Solve for x
    x = 90,365,387,374,064,188,784,640/137,065,277,160
  6. Step 6: Final answer
    x = 659,287,233,400.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.