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Finding the Third Proportional to 72,155,817 and 157,542,608.25

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Solution

The third proportional to 72,155,817 and 157,542,608.25 is: 343,973,285.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,155,817 : 157,542,608.25 = 157,542,608.25 : x
  2. Step 2: Convert to fraction form
    72,155,817/157,542,608.25 = 157,542,608.25/x
  3. Step 3: Cross multiply
    72,155,817x = 157,542,608.25 × 157,542,608.25
  4. Step 4: Simplify right side
    72,155,817x = 24,819,673,414,212,968
  5. Step 5: Solve for x
    x = 24,819,673,414,212,968/72,155,817
  6. Step 6: Final answer
    x = 343,973,285.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.